Geometry

61 Lessons · 473 Topics473 topics

Unit 1

Points, Lines, Segments, and Angles

Unit 2

Foundational Geometric Measurement

Unit 3

Logic and Geometric Reasoning

Unit 4

Proof Methods

Unit 5

Lines, Angles, and Parallelism

Unit 6

Coordinate Geometry of Lines

Unit 7

Triangle Properties and Classification

Unit 8

Triangle Congruence

Unit 9

Triangle Segments and Centers

Unit 10

Triangle Inequalities

Unit 11

Polygons and Parallelograms

Unit 12

Special Quadrilaterals

Unit 13

Ratios and Similar Polygons

Unit 14

Triangle Similarity and Scale

Unit 15

Right-Triangle Theorems

Unit 16

Triangle Trigonometry

Unit 17

Plane Area and Measurement

Unit 18

Surface Area and Volume

Unit 19

Circle Segments, Arcs, and Measurement

Unit 20

Circle Angles, Segments, and Equations

Unit 21

Rigid Transformations and Dilations

Applying the Pythagorean Theorem

Start

Geometry

Fundamentals of Points, Lines, and Planes

Segment Measurement and Construction

Angle Measurement and Construction

Relationships Between Angle Pairs

Applying Geometric Formulas

Forming Conjectures Through Inductive Reasoning

Understanding Conditional Statements

Verifying Conjectures Through Deductive Reasoning

Definitions and Biconditional Statements

Methods of Algebraic Proof

Methods of Geometric Proof

Paragraph and Flowchart Proof Methods

Fundamentals of Coordinate Proof

Relationships Among Planes, Lines, and Angles

Angle Relationships with Parallel Lines and Transversals

Methods for Proving Lines Parallel

Exploring Perpendicular-Line Properties

Coordinate-Plane Midpoints and Distances

Calculating Slope from Two Points

Equations in Slope-Intercept Form

Equations in Point-Slope Form

Parallel and Perpendicular Line Slope Relationships

Triangle Classification

Triangle Angle Relationships

Properties of Isosceles and Equilateral Triangles

Understanding Triangle Congruence

SSS and SAS Criteria for Triangle Congruence

ASA, AAS, and HL Criteria for Triangle Congruence

Applying CPCTC to Congruent Triangles

Theorems on Perpendicular and Angle Bisectors

Triangle Medians, Altitudes, and Midsegments

Triangle Inequalities and Indirect Proof

Comparing Inequalities Between Two Triangles

Exploring Polygon Attributes and Properties

Exploring Parallelogram Properties

Criteria for Identifying Parallelograms

Exploring Special Parallelogram Properties

Criteria for Identifying Special Parallelograms

Exploring Kite and Trapezoid Properties

Understanding Ratios and Proportions

Ratio Relationships in Similar Polygons

AA, SSS, and SAS Criteria for Triangle Similarity

Right-Triangle Similarity

Applying the Pythagorean Theorem

Applications of Special Right Triangles

Understanding Trigonometric Ratios

Right-Triangle Solution Methods

Deriving Triangle and Quadrilateral Formulas

Calculating Prism and Cylinder Surface Areas

Calculating Pyramid and Cone Surface Areas

Calculating Prism and Cylinder Volumes

Circle-Intersecting Lines

Relationships Between Arcs and Chords

Deriving Circle and Regular-Polygon Formulas

Properties of Inscribed Angles

Circle Angle Relationships

Circle Segment Relationships

Coordinate-Plane Transformations

Reflecting Figures

Translating Figures

Rotating Figures