Practice Makes Perfect in Geometry: Three-Dimensional Figures
By John Parnell
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About this ebook
One of the best ways to succeed in Geometry is to practice taking real test questions. This volume contains 133 problems on Three-Dimensional Figures divided into four chapters: Definitions and Shapes; Rectangular Solids; Cylinders, Cones, Spheres; and Prisms and Pyramids. Try the problems. With a little Practice, Practice, Practice, you’ll be Perfect, Perfect, Perfect. Good Luck!!!
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.
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Practice Makes Perfect in Geometry - John Parnell
Practice Makes Perfect in Geometry:
Angles, Triangles, and other Polygons
459 Practice Problems with Answers
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. Following each chapter are the answers to the problems. Try the problems. Check your answers. 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
Answers to Practice Questions
Chapter 2: Parallel Lines with a Transversal
38 Practice Questions
Answers to Practice Questions
Chapter 3: Triangles (Similar, interior, and exterior angles)
156 Practice Questions
Answers to Practice Questions
Chapter 4: Triangle Inequality
17 Practice Questions
Answers to Practice Questions
Chapter 5: Properties of Quadrilaterals
18 Practice Questions
Answers to Practice Questions
Chapter 6: Parallelograms and Rectangles
23 Practice Questions
Answers to Practice Questions
Chapter 7: Rhombuses and Squares
24 Practice Questions
Answers to Practice Questions
Chapter 8: Trapezoids and other Polygons
27 Practice Questions
Answers to Practice Questions
Chapter 9: Area and Perimeter of Polygons
58 Practice Questions
Answers to Practice Questions
Chapter 10: Circles (Area and Circumference)
23 Practice Questions
Answers to Practice Questions
Chapter 11: Combinations of Figures
20 Practice Questions
Answers to Practice Questions
Chapter 12: Planes
4 Practice Questions
Answers to Practice Questions
Chapter 13: Geometry Probability
17 Practice Questions
Answers to 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