RWM103: Congruent Angles and Angle Bisectors | Saylor Academy

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Read this article and watch the videos. Pay attention to the section on investigation, which explains the step-by-step method for constructing an angle bisector. Carefully read the examples.

Then, complete practice questions 1, 5, 11, and 12 and check your answers.

Click on Congruent Angles and Angle Bisectors to open the resource.

COURSE INTRODUCTION

Course Syllabus

Unit 1: The Basics of Geometry

1.1: Language and Notation

The Language and Notation of Basic Geometry

Lines, Line Segments, and Rays

1.2: The Distance between Two Points

The Distance between Two Points

1.3: Midpoints and Segment Bisectors

Midpoints and Segment Bisectors

1.4: Measuring Angles

Angles

Measuring Angles

1.5: Congruent Angles and Angle Bisectors

Congruent Angles and Angle Bisectors

1.6: Acute, Obtuse, and Right Angles

Acute, Right, and Obtuse Angles

1.7: Complementary and Supplementary Angles

Complementary and Supplementary Angles

Practice with Complementary and Supplementary Angles

1.8: Linear Pairs

Linear Pairs

1.9: Vertical Angles

Vertical Angles

Equations with Vertical Angles

Practice Solving Problems with Vertical Angles

1.10: Polygon Classification

Classifying Polygons

Unit 2: Parallel and Perpendicular Lines

2.1: Parallel, Perpendicular, and Skew Lines

Identifying Parallel and Perpendicular Lines

2.2: Angles and Transversals

Angles, Parallel Lines, and Transversals

2.3: Corresponding Angles

Corresponding Angles

2.4: Alternate Interior Angles

Alternate Interior Angles

2.5: Alternate Exterior Angles

Alternate Exterior Angles

2.6: Same Side Interior Angles

Same Side Interior Angles

2.7: Distance Formula in the Coordinate Plane

Using the Distance Formula

Practice Using the Distance Formula

Unit 3: Triangles, Congruence, and Other Relationships

3.1: Triangle Classification

Triangle Classification

3.2: Triangle Sum Theorem

Using the Triangle Sum Theorem

Practice Using the Exterior Angle Theorem

3.3: Exterior Angle Theorem

Using the Exterior Angle Theorem

Practice Using the Exterior Angle Theorem

3.4: Congruent Figures

Congruent Figures

3.5: Congruent Triangles and SSS

Congruent Triangles and the SSS Postulate

3.6: Other Triangle Congruence Postulates

The SAS, ASA, and AAS Postulates

3.7: Calculating Congruent Triangles

Congruent Triangles

Practice with Congruent Triangles

Practice with Angles in Congruent Triangles

3.8: Isosceles Triangles

Isosceles Triangles

3.9: Equilateral Triangles

Equilateral Triangles

Unit 4: Triangle Relationships

4.1: Midsegment Theorem

Midsegment Theorem

4.2: Perpendicular Bisectors

Perpendicular Bisectors

4.3: Angle Bisectors

Angle Bisectors

4.4: Medians

Triangle Medians and Centroids

Using Medians and Centroids to Solve Unknown Quantities

4.5: Altitudes

Altitudes

4.6: Triangle Inequality Theorem