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RWM103: Geometry

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Practice with Congruent Triangles

Course Syllabus

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

Triangle Inequality Theorem

Practice Using the Triangle Inequality Theorem

Unit 5: Polygons and Quadrilaterals

5.1: Sum of Interior Angles of a Polygon

Quadrilaterals, Polygons, and Transformations

Sum of Interior Angles of a Polygon

5.2: Sum of Exterior Angles of a Convex Polygon

Sum of Exterior Angles of a Convex Polygon

Practice Adding Angles of a Polygon

5.3: Parallelograms

Parallelograms

Classifying Parallelograms

5.4: Trapezoids

Trapezoids

5.5: Kites

Kites

5.6: Coordinate Geometry

Quadrilaterals

Practice with Quadrilaterals

Unit 6: Similarity

6.1: Similar Polygons

Similar Triangles

Similar Polygons and Scale Factors

6.2: Similarity Postulates

Similarity Postulates

6.3: Angle-Angle Similarity and Indirect Measurement

Angle-Angle Similarity Postulate

6.4: Side-Side-Side and Side-Angle-Side Similarity

Side-Side-Side Triangle Similarity

Side-Angle-Side Triangle Similarity

6.5: Triangle Proportionality, Parallel Lines and Transversals

Solving Similar Triangles

Practice Solving Similar Triangles Part I

Practice Solving Similar Triangles Part II

Unit 7: Right Triangle Trigonometry

7.1: The Pythagorean Theorem

The Pythagorean Theorem

Using the Pythagorean Theorem

Practice Using the Pythagorean Theorem

7.2: 45-45-90 Triangles

45-45-90 Right Triangles

7.3: 30-60-90 Right Triangles

30-60-90 Right Triangles

7.4: Sine, Cosine, and Tangent

Trigonometry

Practice Trigonometric Ratios in Right Triangles

7.5: Trigonometric Ratios with a Calculator

Using a Calculator for Trigonometric Ratios

Unit 8: Circles

8.1: Language and Notation of a Circle

Circle Language and Notation

8.2: Tangent Lines

Tangent Lines

8.3: Arcs of Circles

Arcs

Practice Measuring Arcs

8.4: Inscribed Angles

Value of Inscribed Angles and Polygons

Practice Inscribed Angles and Polygons

8.5: Angles of Chords, Secants, and Tangents

Chords in Circles

Angles of Chords, Secants, and Tangents

Unit 9: Perimeter and Area

9.1: Perimeter and Area Basics

Perimeter and Area Basics

9.2: Area of Triangles

Area and Perimeter of a Triangle

9.3: Area and Perimeter of Rectangles and Squares

Area and Perimeter of a Rectangle

9.4: Area of a Parallelogram

Area of a Parallelogram

9.5: Area and Perimeter of Trapezoids

Area and Perimeter of Trapezoids

9.6: Area and Perimeter of Rhombuses and Kites

Area and Perimeter of Rhombuses and Kites

9.7: Area and Perimeter of Similar Polygons

Area and Perimeter of Similar Polygons

9.8: Circumference

Circumference Review

9.9: Arc Length

Arc Length

9.10: Area of a Circle

Area of a Circle

Practice Calculating the Area of a Circle

9.11: Area of Composite Shapes

Perimeter and Area of a Non-Standard Polygon

Unit 10: Surface Area and Volume

10.1: Polyhedrons

Polyhedrons

Representing Solids

10.2: Prisms

Prisms

10.3 Cylinders

Cylinders

10.4: Pyramids

Pyramids

10.5: Cones

Cones

10.6: Spheres

Spheres

10.7: Composite Solids

Composite Solids

Course Feedback Survey

Course Feedback Survey

Certificate Final Exam

RWM103: Certificate Final Exam

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RWM103: Geometry
Practice with Congruent Triangles

Practice with Congruent Triangles

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Saylor Academy © 2010-2024 except as otherwise noted. Excluding course final exams, content authored by Saylor Academy is available under a Creative Commons Attribution 3.0 Unported license. Third-party materials are the copyright of their respective owners and shared under various licenses. See detailed licensing information. Saylor Academy®, Saylor.org®, and Harnessing Technology to Make Education Free® are trade names of the Constitution Foundation, a 501(c)(3) organization through which our educational activities are conducted.