GEOMETRY PROBLEMS
Mr. X helps math students better understand Geometry. Our sample math problems are designed to provide the necessary practice to know and understand the ideas and principles of geometry. The sample problems reinforce the geometry lessons available to our subscribers. Check out our free samples below, as well as the geometry problem set.Geometry Problems
Angles
Classifying Angles 


Title/Subject  Description  
Naming Angles Practice Problems II  We explore the rudiments of a proof to show equivalence in the sums and differences of adjacent angles. We name angles as part of this exercise. 

Naming Angles 

Title/Subject  Description  
Naming Angles Practice Problems  Review and Extension exercise for addition and subtraction of adjacent angles.  
Naming Angles Practice Problems II  We explore the rudiments of a proof to show equivalence in the sums and differences of adjacent angles. We name angles as part of this exercise. 

Angle Pair Relationships 

Title/Subject  Description  
Angle Pair Relationships Problem Set 1  Soothing music for the identification of special pairs of angles.  
Reading a Protractor 

Title/Subject  Description  
Reading Angles in Degrees  We place a protractor upon the page and measure angles to the nearest degree.  
Identify if a Point is Interior or Exterior to an Angle 

Title/Subject  Description  
Identify if a Point is Interior or Exterior to an Angle Problem Set 1  Soothing music for the identification of points related to position (interior or exterior) to angles.  
Angle Addition Postulate 

Title/Subject  Description  
Angle Addition Postulate Problem Set  The Angle Addition Postulate is a very easy idea.  
Find Complementary Angles 

Title/Subject  Description  
Complemtary Angles Practice Problems  These video has two problems. The second set of problems deal with finding the complementary angle for each specified angle. 

Find Complementary Angles Practice Problems 2  How many degrees in an angle which is 12° less than its supplement? Or 18° greater than its complement?  
Find Supplementary Angles 

Title/Subject  Description  
Find Complementary Angles Practice Problems 2  How many degrees in an angle which is 12° less than its supplement? Or 18° greater than its complement?  
Find All Angles 

Title/Subject  Description  
Find all Missing Angles Problem Set 1  When two parallel lines are cut by a transversal, alternate interior angles are congruent, and alternate exterior angles are congruent. 
Area and Perimeter
Area and Perimeter of Triangles 


Title/Subject  Description  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.  
Area and Perimeter of Quadrilaterials 

Title/Subject  Description  
Area and Perimeter of Quadrilaterals Practice Problems  We show how to calculate area and perimeter of a variety of quadrilaterals in this worksheet.  
Areas and Segments  Quadrilaterals  A square, a trapezoid, a rectangle, and a parallelogram comprise four problems of basic area and dimensions.  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.  
Area and Perimeter of Regular Polygons 

Title/Subject  Description  
Areas and Segments  Polygons  Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem. 

Areas and Segments  Polygons II  Two squares, an octagon, and a triangle comprise the four problems in this set.  
Area and Perimeter Using All Polygons 

Title/Subject  Description  
Areas and Segments  Polygons  Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem. 

Areas and Segments  Polygons II  Two squares, an octagon, and a triangle comprise the four problems in this set.  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons. 
Circles
Identify Radius & Diameter 


Title/Subject  Description  
Points, Line Segments & Circles  We differentiate points, line segments, and circles, from their graphical representations. It's an important distinction. A point has no size; it is merely an idea. 

Circumference, Area, Radius, & Diameter 

Title/Subject  Description  
Working with Curved Shapes  Two annuli, a circle, and a circular sector comprise this problem set for areas of curved shapes, as well as circumference.  
Working with Curved Shapes II  Two circular sectors, an annulus, and a circle comprise this problem set for areas and dimensions of curved plane shapes.  
Working with Curved Shapes III  We stumble into a "circular trapezoid," that might be better termed a section of an annulus. Additionally, two circles and a circular sector make up this problem set. 

Working with Curved Shapes IV  An annulus, an annular sector, and two circles comprise this problem set for areas and dimensions of curved planar shapes. 
Constructions
Coordinate Geometry
Midpoint Formula 


Title/Subject  Description  
Midpoint Formula Sample Problem 1  1 Quadrants  Finding the Midpoint of a Line Segment in Cartesian Coordiantes is very easy. Here we stay in the First Quadrant with all values positive. 

Midpoint Formula Sample Problem 2  4 Quadrants  Finding the Midpoint of a Line Segment in Cartesian Coordiantes is very easy. Here we have Line Segments in all Four Quadrants. 

Distance Formula 

Title/Subject  Description  
Distance Formula, First Quadrant  The Distance Formula is actually a form of the Pythagorean Relation.  
Single Quadrant Ordered Pair 

Title/Subject  Description  
Graphing Single Quadrant Ordered Pairs Problem Set 1  To embark upon Basic Algebra, you have to first learn how to plot points. Here we have small positive Integers for both x and ycoordinates. Finding and labeling Ordered Pairs needs to be "automatic." 

Graphing Single Quadrant Ordered Pairs Problem Set 2  The location of Ordered Pairs is essential to the mathematics that comes later. Practice this business until it is secondnature. This needs to be "automatic." 

Four Quadrant Ordered Pair 

Title/Subject  Description  
Four Quadrant Ordered Pair Practice Problems 1  Plotting pints involves matching up sets of ordered pairs. Keep the xcoordinate and the ycoordinate straight, and it's a snap. 

Four Quadrant Graphing Puzzle 

Title/Subject  Description  
Four Quadrant Graphing Puzzle Demonstration  Graphing points in Cartesian (or rectangular) coordinates. 
General Topics
Geometry 


Title/Subject  Description  
Angle Addition Calculations DMS 301  We add angles in DMS form (DegreeMinutesSeconds). Twelve problems; I work the first batch of six. 

Angle Subtraction Calculations DMS 302  Subtraction of angles in DMS form. Twelve problems; I work the first six. 

Basic Areas and Perimeters  Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem. 

Connecting Nodes  How many connections can be made between 24 different nodes?  
Equilateral Triangles 14028 Version E  Consider two equilateral triangles where one has a perimeter three times the other. Version E (long). 

Equilateral Triangles 14028 Version F  Consider two equilateral triangles where one has a perimeter three times the other. Version F (short). 

Equilateral Triangles 14028 Version G  Consider two equilateral triangles where one has a perimeter three times the other. Version G (medium length). 

Equilateral Triangles 14030 Version E  Consider two equilateral triangles where one has an area nine times the other. Version E (long). 

Equilateral Triangles 14030 Version F  Consider two equilateral triangles where one has a perimeter three times the other. Version F (short). 

Equilateral Triangles 14030 Version G  Consider two equilateral triangles where one has a perimeter three times the other. Version G (medium). 

Find Line Segment from Chord 14024 Version E  Given a circle with a given chord and a radius obtained from the area, find the length of a line segment perpendicular to the chord. This is Version E, the long (explanatory) version. 

Find Line Segment from Chord 14024 Version F  Given a circle with a given chord and a radius obtained from the area, find the length of a line segment perpendicular to the chord. This is Version F, the fast (fun) version. 

Find Line Segment from Chord 14024 Version G  Given a circle with a given chord and a radius obtained from the area, find the length of a line segment perpendicular to the chord. This is Version G, the general (gradelevel) version. 

Find Perimeter Polygon 14025 Version E  We use a 30°  60°  90° triangle to find the perimeter of a fivesided polygon. This is Version E, the long version (extra long, explanatory, encompassing, ...) 

Find Perimeter Polygon 14025 Version F  We use a 30°  60°  90° triangle to find the perimeter of a fivesided polygon.  
Find Perimeter Polygon 14025 Version G  We use a 30°  60°  90° triangle to find the perimeter of a fivesided polygon.  
Find Shaded Area 14021 Version E  Given a right triangle with the long leg tangent to a circle, find a designated area. We employ a 30°  60°  90° triangle. 

Find Shaded Area 14021 Version F  Given a right triangle with the long leg tangent to a circle, find a designated area. We employ a 30°  60°  90° triangle. 

Find Shaded Area 14021 Version G  Given a right triangle with the long leg tangent to a circle, find a designated area. We employ a 30°  60°  90° triangle. 

Geometric Problem Set 001, Betz, Webb and Smith  These review exercises show the Segment Addition Postulate in its most basic practical form. This is a very straightforward idea. 

Geometric Problem Set 002, Betz, Webb and Smith  Segment addition follows established logic with incorporation of numbers, or constants, as multipliers or divisors. This is especially easy if you understand fractions. 

Geometric Problem Set 003, Betz, Webb and Smith  The addition of line segments is extremely easy and straightforward, even if the lengths are fractions of a length expressed as a variable.  
Geometric Problem Set 004, Betz, Webb and Smith  With a ruler, we measure line segments and calculate errors (percent error) from estimates and measurements.  
Geometric Problem Set 005, Betz, Webb and Smith  We look at angles within block letters. These problems are basic to understanding angle addition and the Angle Addition Postulate. We also move an angle along one ray to maintain the same angle. 

Geometric Problem Set 006, Betz, Webb and Smith  Every possible angle is contained in a rotation. Angles can be thought of as a portion (some fraction) of a rotation. Don't worry, be happy. 

Geometric Problem Set 007, Betz, Webb and Smith  We look at equal fifths of a rotation, which are 72°. We also look at an angle greater than 180°. 

Geometric Problem Set 008, Betz, Webb and Smith  We look at fractional parts of a straight angle. This problem is truly just arithmetic. You'll find that 30° and 180° are very important angles. 

Geometric Problem Set 009, Betz, Webb and Smith  What we used to call a "round angle" is more commonly termed a "revolution." We use 360 for the number of degrees in a full revolution because it divides so well by integer values. Learn the values that divide into 360. 

Geometric Problem Set 011, Betz, Webb and Smith  A man, setting his watch, moves the minute hand forward half an hour and then moves it back 8 minutes. How many degrees in the angle between the first and the final position of the minute hand? 

Geometric Problem Set 012, Betz, Webb and Smith  A screw required 10.5 complete turns before it was firm in the wood. The depth of the hole was found to be 0.75 inches. How far did a turn of a straight angle drive it? 

Geometric Problem Set 013, Betz, Webb and Smith  What is the complement of 24°17'? Of 79°11'? Of 46°34'10"?  
Geometric Problem Set 014, Betz, Webb and Smith  Review and Extension exercise for addition and subtraction of adjacent angles.  
Geometric Problem Set 015, Betz, Webb and Smith  We explore the rudiments of a proof to show equivalence in the sums and differences of adjacent angles.  
Geometric Problem Set 016, Betz, Webb and Smith  We take steps toward the world of basic geometric proofs by looking at a simple review exercise.  
Geometric Problem Set 017, Betz, Webb and Smith  There are four angles about a point, of which each after the first is three times as large as the preceding angle. How many degrees in each angle? 

Geometric Problem Set 018, Betz, Webb and Smith  How many degrees does the minute hand of a clock traverse in one hour? In onehalf hour? In threefourths of an hour? In five minutes of time?  
Geometric Problem Set 019, Betz, Webb and Smith  Change to the lowest indicated denominations: 20°24'; 30°30'; 179°59'60".  
Geometric Problem Set 020, Betz, Webb and Smith  How many degrees in an angle which is 12° less than its supplement? Or 18° greater than its complement?  
Geometric Problem Set 021, Betz, Webb and Smith  Find two angles, A and B, if half their sum is 48°16'20" while half their difference is 22°52'17".  
Geometric Problem Set 051, MathAids.com  A worksheet from MathAids.com with right triangles asks us to calculate both area and perimeter. I'll work three of the problems, you work the rest. 

Geometric Problem Set 052, MathAids.com  A worksheet from MathAids.com with right triangles asks us to calculate both area and perimeter.  
Geometric Problem Set 053, MathAids.com  Common triangles may be termed scalene, when no two sides or angles are congruent. The worksheet from MathAids.com asks for calculations of both area and perimeter. 

Geometric Problem Set 054, MathAids.com  Two flavors of triangles comprise this worksheet from mathAids.com: right triangles and equilateral triangles. We are to calculate both area and perimeter. 

Geometric Problem Set 055, MathAids.com  From MathAids.com is a worksheet with isosceles triangles for which we are asked to calculate both area and perimeter.  
Geometric Problem Set 056, MathAids.com  Squares are easy for both area and perimeter in this worksheet from MathAids.com.  
Geometric Problem Set 057, MathAids.com  Almost as easy as squares, in this worksheet from MathAids.com we're given rectangles for which to calculate both area and perimeter.  
Geometric Problem Set 058, MathAids.com  From MathAids.com, a worksheet to calculate area and perimeter of parallelograms.  
Geometric Problem Set 059, MathAids.com  We calculate the area and perimeter of trapezoids in this worksheet from MathAids.com.  
Geometric Problem Set 060, MathAids.com  From MathAids.com a worksheet with various quadrilaterals for which we will calculate both area and perimeter.  
Geometry Problem Set 022, Thatquiz.org  From thatquiz.org, we identify circles, ovals, triangles, squares, rectangles, parallelograms, and rhombuses.  
Geometry Problem Set 023, Thatquiz.org  From thatquiz.org, we identify basic shapes including polygons.  
Geometry Problem Set 024, Thatquiz.org  Basic number lines. A lesson for arithmetic, algebra, and geometry. You have to know your number lines. 

Geometry Problem Set 025, Thatquiz.org  This look at number lines at thatquiz.org applies to arithmetic and algebra as well as geometry.  
Identify Parallel, Perpendicular, and Intersecting Lines  From MathAids.com a worksheet for beginning geometry where we identify a basic relationship between lines that are either parallel (distinct lines in the same plane that never meet), perpendicular (lines that intersect at 90 degrees, or a right angle) or intersecting ("crossing" at an angle that is not 90 degrees, or what is called a right angle).  
Line Segment in Similar Right Triangles 14026 Version E  We take advantage of Pythagorean Triple 345 and similar triangles to solve for the length of a line segment. This is Version E (long). 

Line Segment in Similar Right Triangles 14026 Version F  We take advantage of Pythagorean Triple 345 and similar triangles to solve for the length of a line segment. This is Version F (short). 

Line Segment in Similar Right Triangles 14026 Version G  We take advantage of Pythagorean Triple 345 and similar triangles to solve for the length of a line segment. This is Version G (medium length, general). 

Plane Figures: Curved Shapes 23  Two annuli, a circle, and a circular sector comprise this problem set for areas of curved shapes, as well as circumference.  
Plane Figures: Curved Shapes 24  Two circular sectors, an annulus, and a circle comprise this problem set for areas and dimensions of curved plane shapes.  
Plane Figures: Curved Shapes 25  We stumble into a "circular trapezoid," that might be better termed a section of an annulus. Additionally, two circles and a circular sector make up this problem set. 

Plane Figures: Curved Shapes 26  An annulus, an annular sector, and two circles comprise this problem set for areas and dimensions of curved planar shapes.  
Plane Shapes: Areas and Segments 17  A square, a trapezoid, a rectangle, and a parallelogram comprise four problems of basic area and dimensions.  
Plane Shapes: Areas and Segments 18  Two squares, an octagon, and a triangle comprise the four problems in this set.  
Plane Shapes: Areas and Segments 19  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Plane Shapes: Areas and Segments 20  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Plane Shapes: Areas and Segments 21  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Plane Shapes: Areas and Segments 22  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.  
Problem Set: Similarity 11  Similar triangles have the same shape, the same angles. We can solve similar triangles with ease. 

Problem Set: Similarity 12  Similar triangles have the same shape, the same proportions. Similar triangles have congruent corresponding angles. 

Pythagorean Theorem 13  The basic righttriangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.  
Pythagorean Theorem 14  The basic righttriangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.  
Pythagorean Theorem 15  The basic righttriangle formula of a² + b² = c² is demonstrated: the sum of the squares of the legs (or catheti) is equal to the square of the hypotenuse.  
Quiz Arc Length 14031 Version E  We use both degree measure and radian measure to find an arc length on a circle given a radius and central angle. This is Version E. 

Quiz Arc Length 14031 Version F  We use both degree measure and radian measure to find an arc length on a circle, given a radius and central angle. This is Version F. 

Quiz Arc Length 14031 Version G  We use both degree measure and radian measure to find an arc length on a circle given a radius and central angle. This is Version G. 

Quiz Arc Length 14032 Version E  Given an equilateral triangle with one vertex at the center of a circle, find a specified arc length. This is Version E (extra long). 

Quiz Arc Length 14032 Version F  Given an equilateral triangle with one vertex at the center of a circle, find a specified arc length. This is Version F (fast). 

Quiz Arc Length 14032 Version G  Given an equilateral triangle with one vertex at the center of a circle, find a specified arc length. This is Version G (general). 

Solid Shapes and Plane Surfaces 27  Prisms, including the cube and the rectangular parallelepiped comprise this problem set for lengths, areas, and volumes.  
Solid Shapes and Plane Surfaces 28  Right prisms and cubes comprise this problem set for calculating lengths, surface areas, and volumes.  
Solid Shapes and Plane Surfaces 29  Two pyramids and two right prisms (one a cube) comprise this problem set for determining areas, volumes, and linear dimensions.  
Solid Shapes and Plane Surfaces 30  A pyramid with a square base and three prisms comprise this problem set for determination of lengths, areas, and volumes.  
Solid Shapes and Plane Surfaces 33  Two cones (right circular), a sphere, and a cylinder (right circular) comprise this problem set for volumes, surface area, and slant height  
Solids and Curved Shapes 34  Two spheres, a right circular cylinder, and a right circular cone comprise this problem set for calculation of surface areas and volumes.  
Solids and Curved Shapes 35  Two right circular cones, a sphere, and a right circular cylinder comprise this problem set for radii, surface area, and volumetric calculation. 
Parallel and Perpendicular Lines
Identifying Perpendicular Lines 


Title/Subject  Description  
Identifying Perpendicular Lines Problem Set  Perpendicular means "meet at right angles" or "intersect to form a 90° angle."  
Find the Equation of a Parallel Line Passing Through a Given Equation and Point 

Title/Subject  Description  
Find Equation of a Parallel Line from an Equation and Point Sample Problem  Given a line and a point, find the Equation of the Line that is Parallel to the Given Line, and that passes through the Given Point.  
Find the Equation of a Perpendicular Line Passing Through a Given Equation and Point 

Title/Subject  Description  
Find Equation of a Perpendicular Line from an Equation and Point Sample Problem  Given a line and a point, find the Equation of the Line that is Perpendicular to the Given Line, and that passes through the Given Point. 
Pythagorean Theorem
Pythagorean Theorem Practice Problems 


Title/Subject  Description  
Find the Hypotenuse, Integer Values  The familiar Pythagorean Theorem is employed to solve for the length of the hypotenuse of a right triangle.  
Find the Missing Leg, Decimal Values  Given the lengths of one leg and the hypotenuse of a right triangle, find the length of the other leg. That value for which you solve will be irrational and approximated with a decimal value. 

Pythagorean Sample Problems  The basic righttriangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.  
Pythagorean Sample Problems II  The basic righttriangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.  
Pythagorean Sample Problems III  The basic righttriangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.  
Distance Formula  Single Quadrant Problems 

Title/Subject  Description  
Distance Formula, First Quadrant  The Distance Formula is actually a form of the Pythagorean Relation.  
Distance Formula  Four Quadrant Problems 

Title/Subject  Description  
Distance Formula, Four Quadrants  In fourquadrant Cartesian Coordinates, the Distance Formula is actually a form of the Pythagorean Relation. 
Quadrilaterals & Polygons
Identify Quadrilaterals 


Title/Subject  Description  
Identify Quadrilaterals Problem Set 1  You need to know the properties of quadrilaterals to answer the problems on this worksheet.  
Angles of Quadrilaterals 

Title/Subject  Description  
Angles of Quadrilaterals Problem Set 1  Find the Missing Angle  Find the measure of the missing angle given three of the interior angles of a foursided polygon.  
Angles of Quadrilaterals Problem Set 2  Find the Missing Angle  Find the measure of the missing angle given three of the interior angles of a foursided polygon.  
Area and Perimeter of Quardrilaterals 

Title/Subject  Description  
Area and Perimeter of Quadrilaterals Practice Problems  We show how to calculate area and perimeter of a variety of quadrilaterals in this worksheet.  
Areas and Segments  Quadrilaterals  A square, a trapezoid, a rectangle, and a parallelogram comprise four problems of basic area and dimensions.  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.  
Identify Regular Polygons 

Title/Subject  Description  
Identify Regular Polygons Problem Set  Polygons are identified by the number of sides. Regular Polygons are actually rather special; each side is the same length (congruent). 

Angles of Regular Polygons 

Title/Subject  Description  
Angles of Regular Polygons Problem Set  For the first two answers, we need to have a Regular Polygon. Regular Polygons are Equilateral and Equiangular. For the sum of the interior angles, the algorithm (recipe) works for any shaped polygon. 

Area and Perimeter of Regular Polygons 

Title/Subject  Description  
Areas and Segments  Polygons  Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem. 

Areas and Segments  Polygons II  Two squares, an octagon, and a triangle comprise the four problems in this set.  
Identify Quadrilaterials and Polygons 

Title/Subject  Description  
Identify Quadrilaterals Problem Set 1  You need to know the properties of quadrilaterals to answer the problems on this worksheet.  
Area and Perimeter Using All Polygons 

Title/Subject  Description  
Areas and Segments  Polygons  Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem. 

Areas and Segments  Polygons II  Two squares, an octagon, and a triangle comprise the four problems in this set.  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons. 
Transformations
Triangles
Area and Perimeter of Triangles 


Title/Subject  Description  
Areas and Segments  A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.  
Areas and Segments II  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.  
Areas and Segments III  A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.  
Areas and Segments IV  An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.  
The Triangle Inequality Theorem 

Title/Subject  Description  
The Triangle Inequality Theorem Problem Set 1  We look at the possible values for the lengths of the sides of a triangle with the Triangle Inequality Theorem.  
Triangle Inequalities of Angles 

Title/Subject  Description  
Triangle Inequality of Angles Problem Set  In a Scalene (Plane) Triangle, the largest angle is opposite the longest side.  
The Exterior Angle Theorem 

Title/Subject  Description  
Exterior Angles in Triangles Problem Set 1  Exterior angles on triangles relate to linear pairs, which are supplementary angles, which sum to 180°.  
Medians of Triangles 

Title/Subject  Description  
Medians of Triangles Problem Set 1  After a brief lesson in the 2:1 ratio for segments of our Triangle Medians, we show some very easy calculations on a worksheet.  
Find the Centroid from a Graph 

Title/Subject  Description  
Find the Centroid from a Graph Problem Set 1  Find the Centroid of the Triangle using the graph in Cartesian Coordinates.  
Find the Centroid from Vertices 

Title/Subject  Description  
Find the Centroid from Vertices Problem Set 1  Find the coordinates of the Centroid of the Triangle with a simple calcualtion: sum the xcordinates of the vertices and divide by three, sum the ycordinates of the vertices and divide by three. 
Trigonometry
Trigonometric Ratios 


Title/Subject  Description  
Trigonometric Ratios Problem Set 1  We calculate sines, cosines and tangents of different angles in triangles.  
Inverse Trigonometric Ratios 

Title/Subject  Description  
Inverse Trigonometric Ratios Problem Set 1  Inverse trig functions return the angle whose trig function is that number.  
Inverse Trigonometric Ratios Problem Set 2  Inverse trig functions return the angle whose trig function is that number.  
Solving Right Triangles 

Title/Subject  Description  
Solving Right Triangles Sample Problem Set 1  On these problems we determine the length of a side of a right triangle given two sides and one angle.  
MultiStep Problems 

Title/Subject  Description  
Calculating Trig Values from a Given Trig Value and the Associated Angle  Given a trig value and an associated angle, determine the values of the other five basic trig function values for that angle. 