Regents Geometry Power Pack Revised Edition

1735 Pages·2021·51.827 MB·English

by  Andre Castagna

Regents Power Pack
Geometry
Revised Edition
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ISBN: 978-1-5062-7767-7
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Let’s Review Regents:
Geometry
Revised Edition
Andre Castagna, Ph.D.
Mathematics Teacher
Albany High School
Albany, New York
Table of Contents
Cover
Title Page
Copyright Information
Dedication
Preface
Chapter 1: The Tools of Geometry
1.1 The Building Blocks of Geometry
1.2 Basic Relationships Among Points, Lines, and Planes
1.3 Brief Review of Algebra Skills
Chapter 2: Angle and Segment Relationships
2.1 Basic Angle Relationships
2.2 Bisectors, Midpoint, and the Addition Postulate
2.3 Angles in Polygons
2.4 Parallel Lines
2.5 Angles and Sides in Triangles
Chapter 3: Constructions
3.1 Basic Constructions
3.2 Constructions that Build on the Basic Constructions
3.3 Points of Concurrency, Inscribed Figures, and Circumscribed
Figures
Chapter 4: Introduction to Proofs
4.1 Structure and Strategy of Writing Proofs
4.2 Using Key Idea Midpoints, Bisectors, and Perpendicular
Lines
4.3 Properties of Equality
4.4 Using Vertical Angles, Linear Pairs, and Complementary and
Supplementary Angles
4.5 Using Parallel Lines
4.6 Using Triangle Relationships
Chapter 5: Transformations and Congruence
5.1 Rigid Motion and Similarity Transformations
5.2 Properties of Transformations
5.3 Transformations in the Coordinate Plane
5.4 Symmetry
5.5 Compositions of Rigid Motions
Chapter 6: Triangle Congruence
6.1 The Triangle Congruence Criterion