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Reasoning with angles, triangles, similarity, and coordinate geometry

Geometry and trigonometry · Lesson 2 of 4

Lesson 2 of 4

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Lesson 2 of 4 · Geometry and trigonometry

Reasoning with angles, triangles, similarity, and coordinate geometry

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By the end you’ll be able to

Apply angle relationships involving vertical angles, supplementary angles, complementary angles, and angles formed by parallel lines and transversals to find unknown angle measures.
Use properties of triangles, including the angle sum theorem, exterior angle theorem, and isosceles triangle properties, to determine unknown side lengths or angle measures.

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Use the distance formula and the midpoint formula to analyze segments on the coordinate plane.

Determine slopes of line segments and use slope to identify parallel and perpendicular lines in coordinate-geometry contexts.

Solve coordinate-geometry problems involving polygons, including finding side lengths, classifying figures, and using coordinates to justify geometric relationships.

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