## 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 Sample Problem 1
Geometry Sample Problem 2
Geometry Sample Problem 3

# 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.

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.

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

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.

## 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.

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 y-coordinates.
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 second-nature. This needs to be "automatic."

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

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 (Degree-Minutes-Seconds).
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 (grade-level) version.
Find Perimeter Polygon 14025 Version E We use a 30° - 60° - 90° triangle to find the perimeter of a five-sided 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 five-sided polygon.
Find Perimeter Polygon 14025 Version G We use a 30° - 60° - 90° triangle to find the perimeter of a five-sided 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 one-half hour? In three-fourths 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, Math-Aids.com A worksheet from Math-Aids.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, Math-Aids.com A worksheet from Math-Aids.com with right triangles asks us to calculate both area and perimeter.
Geometric Problem Set 053, Math-Aids.com Common triangles may be termed scalene, when no two sides or angles are congruent.
The worksheet from Math-Aids.com asks for calculations of both area and perimeter.
Geometric Problem Set 054, Math-Aids.com Two flavors of triangles comprise this worksheet from math-Aids.com: right triangles and equilateral triangles.
We are to calculate both area and perimeter.
Geometric Problem Set 055, Math-Aids.com From Math-Aids.com is a worksheet with isosceles triangles for which we are asked to calculate both area and perimeter.
Geometric Problem Set 056, Math-Aids.com Squares are easy for both area and perimeter in this worksheet from Math-Aids.com.
Geometric Problem Set 057, Math-Aids.com Almost as easy as squares, in this worksheet from Math-Aids.com we're given rectangles for which to calculate both area and perimeter.
Geometric Problem Set 058, Math-Aids.com From Math-Aids.com, a worksheet to calculate area and perimeter of parallelograms.
Geometric Problem Set 059, Math-Aids.com We calculate the area and perimeter of trapezoids in this worksheet from Math-Aids.com.
Geometric Problem Set 060, Math-Aids.com From Math-Aids.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 Math-Aids.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 3-4-5 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 3-4-5 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 3-4-5 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 right-triangle 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 right-triangle 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 right-triangle 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 right-triangle 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 right-triangle 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 right-triangle 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 four-quadrant Cartesian Coordinates, the Distance Formula is actually a form of the Pythagorean Relation.

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

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 four-sided 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 four-sided 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.

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.

## 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 x-cordinates of the vertices and divide by three, sum the y-cordinates 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.

### Multi-Step 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.
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