Geometry, Grade 10,9780395937778

Geometry, Grade 10

by ; ;
Edition: 10th
ISBN13: 9780395937778
ISBN10: 0395937779
Format: Hardcover
Pub. Date: 2000-02-03
Publisher(s): MCDOUG-LITTELL
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List Price: $172.20

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Summary

The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.

Table of Contents

Basics of Geometry
Chapter Study Guide
2(1)
Patterns and Inductive Reasoning
3(7)
Points, Lines, and Planes
10(7)
Segments and Their Measures
17(9)
Quiz 1
25(1)
Angles and Their Measures
26(8)
Segment and Angle Bisectors
34(10)
Concept Activity: Folding Bisectors
33(9)
Quiz 2
42(2)
Angle Pair Relationships
44(7)
Technology Activity: Angles and Intersecting Lines
43(8)
Introduction to Perimeter, Circumference, and Area
51(20)
Quiz 3
58(12)
Reasoning and Proof
Chapter Study Guide
70(1)
Conditional Statements
71(8)
Definitions and Biconditional Statements
79(8)
Deductive Reasoning
87(9)
Concept Activity: Logic Puzzle
86(9)
Quiz 1
95(1)
Reasoning with Properties from Algebra
96(6)
Proving Statements about Segments
102(7)
Proving Statements about Angles
109(20)
Concept Activity: Investigating Complementary Angles
108(8)
Quiz 2
116(12)
Perpendicular and Parallel Lines
Chapter Study Guide
128(1)
Lines and Angles
129(7)
Proof and Perpendicular Lines
136(7)
Concept Activity: Forming a Flow Proof
135(8)
Parallel Lines and Transversals
143(7)
Technology Activity: Parallel Lines and Angles
142(7)
Quiz 1
149(1)
Proving Lines are Parallel
150(7)
Using Properties of Parallel Lines
157(8)
Quiz 2
164(1)
Parallel Lines in the Coordinate Plane
165(7)
Perpendicular Lines in the Coordinate Plane
172(22)
Quiz 3
178(14)
Congruent Triangles
Chapter Study Guide
192(2)
Triangles and Angles
194(8)
Concept Activity: Investigating Angles of Triangles
193(9)
Congruence and Triangles
202(10)
Quiz 1
210(2)
Proving Triangles are Congruent: SSS and SAS
212(8)
Concept Activity: Investigating Congruent Triangles
211(9)
Proving Triangles are Congruent: ASA and AAS
220(9)
Quiz 2
227(1)
Technology Activity: Investigating Triangles and Congruence
228(1)
Using Congruent Triangles
229(7)
Isosceles, Equilateral, and Right Triangles
236(7)
Triangles and Coordinate Proof
243(21)
Quiz 3
250(12)
Properties of Triangles
Chapter Study Guide
262(2)
Perpendiculars and Bisectors
264(8)
Concept Activity: Investigating Perpendicular Bisectors
263(9)
Bisectors of a Triangle
272(7)
Medians and Altitudes of a Triangle
279(8)
Quiz 1
285(1)
Technology Activity: Investigating Concurrent Lines
286(1)
Midsegment Theorem
287(8)
Inequalities in One Triangle
295(7)
Technology Activity: Side Lengths and Angle Measures
294(8)
Indirect Proof and Inequalities in Two Triangles
302(20)
Quiz 2
308(12)
Quadrilaterals
Chapter Study Guide
320(2)
Polygons
322(8)
Concept Activity: Classifying Shapes
321(9)
Properties of Parallelograms
330(8)
Technology Activity: Investigating Parallelograms
329(9)
Proving Quadrilaterals are Parallelograms
338(9)
Quiz 1
346(1)
Rhombuses, Rectangles, and Squares
347(9)
Trapezoids and Kites
356(8)
Quiz 2
363(1)
Special Quadrilaterals
364(8)
Areas of Triangles and Quadrilaterals
372(24)
Concept Activity: Areas of Quadrilaterals
371(9)
Quiz 3
380(14)
Transformations
Chapter Study Guide
394(2)
Rigid Motion in a Plane
396(8)
Concept Activity: Motion in a Plane
395(9)
Reflections
404(8)
Concept Activity: Reflections in the Plane
403(9)
Rotations
412(9)
Technology Activity: Investigating Double Reflections
411(9)
Quiz 1
420(1)
Translations and Vectors
421(9)
Glide Reflections and Compositions
430(7)
Concept Activity: Multiple Transformations
429(8)
Frieze Patterns
437(20)
Quiz 2
444(12)
Similarity
Chapter Study Guide
456(1)
Ratio and Proportion
457(8)
Problem Solving in Geometry with Proportions
465(8)
Similar Polygons
473(7)
Concept Activity: Making Conjectures about Similarity
472(7)
Quiz 1
479(1)
Similar Triangles
480(8)
Proving Triangles are Similar
488(10)
Quiz 2
496(2)
Proportions and Similar Triangles
498(8)
Technology Activity: Investigating Proportional Segments
497(9)
Dilations
506(21)
Quiz 3
513(1)
Technology Activity: Exploring Dilations
514(12)
Right Triangles and Trigonometry
Chapter Study Guide
526(1)
Similar Right Triangles
527(8)
The Pythagorean Theorem
535(8)
The Converse of the Pythagorean Theorem
543(8)
Technology Activity: Investigating Sides and Angles of Triangles
542(7)
Quiz 1
549(2)
Special Right Triangles
551(7)
Concept Activity: Investigating Special Right Triangles
550(8)
Trigonometric Ratios
558(9)
Quiz 2
566(1)
Solving Right Triangles
567(6)
Vectors
573(22)
Quiz 3
580(14)
Circles
Chapter Study Guide
594(1)
Tangents to Circles
595(8)
Arcs and Chords
603(10)
Inscribed Angles
613(8)
Concept Activity: Investigating Inscribed Angles
612(8)
Quiz 1
620(1)
Other Angle Relationships in Circles
621(8)
Segment Lengths in Circles
629(7)
Technology Activity: Investigating Segment Lengths
628(7)
Quiz 2
635(1)
Equations of Circles
636(6)
Locus
642(19)
Technology Activity: Investigating Points Equidistant from a Point and a Line
641(7)
Quiz 3
648(12)
Area of Polygons and Circles
Chapter Study Guide
660(1)
Angle Measures in Polygons
661(8)
Areas of Regular Polygons
669(8)
Perimeters and Areas of Similar Figures
677(6)
Concept Activity: Area Relationships in Similar Figures
676(6)
Quiz 1
682(1)
Circumference and Arc Length
683(8)
Technology Activity: Perimeters of Regular Polygons
690(1)
Areas of Circles and Sectors
691(8)
Geometric Probability
699(20)
Quiz 2
705(1)
Technology Activity: Investigating Experimental Probability
706(12)
Surface Area and Volume
Chapter Study Guide
718(1)
Exploring Solids
719(9)
Surface Area of Prisms and Cylinders
728(7)
Concept Activity: Investigating Surface Area
727(8)
Surface Area of Pyramids and Cones
735(8)
Quiz 1
742(1)
Volume of Prisms and Cylinders
743(9)
Technology Activity: Minimizing Surface Area
750(2)
Volume of Pyramids and Cones
752(7)
Concept Activity: Investigating Volume
751(7)
Quiz 2
758(1)
Surface Area and Volume of Spheres
759(7)
Similar Solids
766(17)
Quiz 3
772(11)
Student Resources
Skills Review Handbook
783(20)
Extra Practice for Chapters 1-12
803(24)
Postulates and Theorems
827(6)
Additional Proofs
833(8)
Symbols, Formulas, and Tables
841(5)
Glossary 846(12)
Index 858
Selected Answers SA1

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