Practice Makes Perfect in Geometry: Angles, Triangles and other Polygons

By John Parnell

The best way to succeed in Geometry is to practice taking test questions. This volume contains 459 problems on Angles, Triangles & other Polygons divided into 13 chapters: Angles; Parallel Lines w/ a Transversal; Triangles; Triangle Inequality; Properties of Quadrilaterals; Parallelograms & Rectangles; Area & Perimeter of Polygons; Circles; Combinations of Figures; Planes; & Geometry Probability.

• Language: English
• Publisher: John Parnell
• Release date: Feb 27, 2010
• ISBN: 9781452305936

John Parnell

About the author: Mr. Parnell holds teaching certification in physics, chemistry, biology, general science, mathematics, and business and distributed education. Over the course of forty years of teaching, he has taught students from the sixth grade through graduate school. In addition, Mr. Parnell has taught for the New York State Research Foundation preparing students for the SAT exam in mathematics.

Book preview

Practice Makes Perfect in Geometry:

Angles, Triangles, and other Polygons

459 Practice Problems

John E. Parnell, B.S., M.S.

Certified Math and Science Teacher

Published by Tutor Turtle Press at Smashwords.com.

© 2010 by John E. Parnell

Smashwords Edition, License Notes

This ebook is licensed for your personal enjoyment only. This ebook may not be re-sold or given away to other people. If you would like to share this book with another person, please purchase an additional copy for each person you share it with. If you’re reading this book and did not purchase it, or it was not purchased for your use only, then you should return to Smashwords.com and purchase your own copy. Thank you for respecting the hard work of this author.

Discover all the titles in the Practice Makes Perfect in Geometry series by John E. Parnell at Smashwords.com:

Volume 1: Angles, Triangles, and other Polygons

Angles (including supplementary, complementary, and vertical)

Parallel Lines with a Transversal

Triangles (Similar, interior, and exterior angles)

Triangle Inequality

Properties of Quadrilaterals

Parallelograms and Rectangles

Rhombuses and Squares

Trapezoids and other Polygons

Area and Perimeter of Polygons

Circles (Area and Circumference)

Combinations of Figures

Planes

Geometry Probability

Volume 2: Three-dimensional figures

1. Definitions and shapes

Rectangular solids (cubes, boxes)

Cylinders, Cones, Spheres

Prisms and Pyramids

Volume 3: Constructions

Constructions

Triangle Centers (centroid, incenter, circumcenter, orthocenter)

Volume 4: Locus

Medians, altitudes, angle bisectors, and perpendicular bisectors of triangles

Compound loci

Compound loci on coordinate plane

Volume 5: Logical Reasoning

1. Truth value and negation

2. Conjunction, disjunction, conditional, and biconditional

3. Inverse, converse, and contrapositive (logically equivalent)

4. Proofs

Volume 6: Triangle proofs

1. Geometric definitions

2. Five congruence techniques (SSS, SAS, ASA, AAS, HL, CPCTC)

3. Similarity (AA AA)

4. Inequality and Indirect

Volume 7: Right Triangles

1. Proportions

2. Pythagorean Theorem

Volume 8: Circles

1. Relationships between arcs and angles (inscribed, exterior, interior, central)

2. Length of Tangents, Secants, and Chords

3. Circle proofs

4. Equation of a circle

5. Graph on the coordinate plane

Volume 9: Transformations

1. Rotations, Reflections, Dilations, Translations (Rules), and Symmetry

2. Isometry

3. Compositions

4. Graphing questions

Volume 10: Coordinate Geometry

1. Introduction to coordinates and the coordinate plane

2. Equation of a line (Slope and y-intercept)

3. Equations of parallel and perpendicular lines

4. Midpoint

5. Distance

6. Coordinate geometry proofs (triangles, parallelograms, trapezoids)

7. System of equations solved graphically (linear, quadratic, and inequalities)

8. Finding the area of polygons on coordinate plane

Volume 11: Enrichment Topics

1. Logic (Truth tables and symbols)

2. Conic Sections

3. Right Triangle Trigonometry

4. Equation of a Parabola

FORWARD

One of the best ways to succeed in Geometry is to practice taking real test questions. This volume contains 459 problems on Angles, Triangles, and other Polygons divided into 13 chapters: Angles; Parallel Lines with a Transversal; Triangles; Triangle Inequality; Properties of Quadrilaterals; Parallelograms and Rectangles; Rhombuses and Squares; Trapezoids and other Polygons; Area and Perimeter of Polygons; Circles; Combinations of Figures; Planes; and Geometry Probability. Try the problems. With a little Practice, Practice, Practice, you’ll be Perfect, Perfect, Perfect. Good Luck!

Table of Contents

Chapter 1: Angles (including supplementary, complementary, and vertical)

34 Practice Questions

Chapter 2: Parallel Lines with a Transversal

38 Practice Questions

Chapter 3: Triangles (Similar, interior, and exterior angles)

156 Practice Questions

Chapter 4: Triangle Inequality

17 Practice Questions

Chapter 5: Properties of Quadrilaterals

18 Practice Questions

Chapter 6: Parallelograms and Rectangles

23 Practice Questions

Chapter 7: Rhombuses and Squares

24 Practice Questions

Chapter 8: Trapezoids and other Polygons

27 Practice Questions

Chapter 9: Area and Perimeter of Polygons

58 Practice Questions

Chapter 10: Circles (Area and Circumference)

23 Practice Questions

Chapter 11: Combinations of Figures

20 Practice Questions

Chapter 12: Planes

4 Practice Questions

Chapter 13: Geometry Probability

17 Practice Questions

Chapter 1: Angles

(including supplementary, complementary, and vertical)

1. The ratio of the measures of two complementary angles is 5:4. What is the measure of the larger angle?

20

40

50

90

2.

In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x.

19

38

42

55

3.

In the diagram, and intersect at E. If m∠AED = 9x + 10 and m∠BEC = 2x + 52, find the value of x.

46

62/11

6

4

4. The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle.

20

80

100

180

5. If two angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle.

30

90

60

120

6.

In the diagram, lines and intersect at E. If m∠AED = 2x + 11 and m∠CEB = 5x - 19, find the value of x.

-6

6

-10

10

7. The larger angle of two supplementary angles has a measure of 20°