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CITATION

Ma, Allen and Kuang, Amber. Must Know High School Geometry. New York: McGraw-Hill Education, 2019.

Must Know High School Geometry

Authors: Allen Ma and Amber Kuang

Published:  June 2019 Pages: 400

eISBN: 9781260454291 | ISBN: 9781260454284
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  • Cover
  • Title Page
  • Copyright Page
  • Dedication
  • Authors’ Acknowledgments
  • CONTENTS
  • Introduction
  • The Flashcard App
  • 1 Definitions
  • The Basics
  • Bisectors and Midpoints
  • Types of Angles
  • Reflexive, Substitution, and Transitive Property
  • Addition and Subtraction Postulate
  • 2 Triangle Proofs
  • Side-Side-Side Postulate for Proving Triangles Congruent
  • Side-Angle-Side Postulate for Proving Triangles Congruent
  • Angle-Side-Angle Postulate for Proving Triangles Congruent
  • Angle-Angle-Side Postulate for Proving Triangles Congruent
  • Why Is Side-Side-Angle Not a Postulate for Proving Triangles Congruent?
  • Why Is Angle-Angle-Angle Not a Postulate for Proving Triangles Congruent?
  • Hypotenuse-Leg Postulate for Proving Triangles Congruent
  • Corresponding Parts of Congruent Triangles Are Congruent
  • 3 Classifying Triangles
  • Solving for the Angles in a Triangle
  • Exterior Angle Theorem
  • Classifying Triangles by Angle Measurements
  • Isosceles, Equilateral, and Scalene Triangles
  • Relationships of the Sides and Angles of Triangles
  • Median, Altitude, and Angle Bisector
  • 4 Centers of a Triangle
  • Centroid of a Triangle
  • The Incenter of a Triangle
  • The Orthocenter of a Triangle
  • The Circumcenter of a Triangle
  • The Euler Line
  • 5 Similarity
  • Proportions in Similar Triangles
  • Determining Whether Triangles Are Similar
  • Perimeter and Area of Similar Triangles
  • Parallel Lines Inside a Triangle
  • Proportions of Similar Right Triangles
  • Similar Triangle Proofs
  • 6 Getting to Know Right Triangles
  • The Pythagorean Theorem
  • Pythagorean Triples
  • Special Right Triangles
  • Right Triangle Trigonometry
  • Word Problems
  • 7 Parallel Lines
  • Alternate Interior Angles
  • Corresponding Angles
  • Alternate Exterior, Same-Side Interior, and Same-Side Exterior Angles
  • Auxiliary Lines
  • Proving That the Sum of the Angles of a Triangle Is 180°
  • Determining If Lines Are Parallel
  • 8 Parallelograms
  • Rectangles
  • Rhombuses
  • Squares
  • Trapezoids
  • 9 Coordinate Geometry
  • Distance Formula
  • Using the Distance Formula to Classify Shapes
  • Midpoint Formula
  • Slope Formula
  • Writing the Equations of Parallel and Perpendicular Lines
  • Partitioning a Line Segment
  • 10 Transformations
  • Reflections
  • Rotations
  • Translations
  • Dilation
  • Composition of Transformations
  • 11 Circle Theorems Involving Angles and Segments
  • Definition of Terms Related to a Circle
  • Lengths of Intersecting Chords
  • Finding the Length of Secant Segments
  • Length of Tangent–Secant Segments from an External Point
  • Angles Associated with the Circle
  • 12 Circumference and the Area of Circles
  • Finding the Area of a Sector
  • Finding the Length of the Arc of a Sector
  • Standard Form of a Circle
  • General Form of a Circle
  • Graphing a Circle on the Coordinate Plane
  • 13 Volume of Three-Dimensional Shapes
  • Cones
  • Cylinders
  • Prisms
  • Square Pyramids
  • Spheres
  • From 2D to 3D
  • 14 Constructions
  • Copying Segments and Angles
  • Bisectors and Perpendicular and Parallel Lines
  • Constructions Involving Perpendicular Lines
  • Constructing Parallel Lines
  • Construction Applications
  • Constructing an Altitude and a Median
  • Constructing a Square and Hexagon Inscribed in a Circle
  • Constructing Transformations
  • Answer Key