Math II · G-SRT.4

Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.

Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.

Concept Geometry
Domain Similarity, Right Triangles, and Trigonometry
Problem Types

Problem Templates In This Objective

9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Use the side-splitter theorem to find a missing segment

4 variants
Template 2

Use the converse of the side-splitter theorem to decide whether a segment is parallel to the third side of a triangle

4 variants
Template 3

Use the angle bisector theorem to find a missing segment

4 variants
Template 4

Use right-triangle similarity to find a missing length

4 variants
Template 5

Use the Pythagorean Theorem after a similarity proof

4 variants
Template 6

Complete a triangle-similarity theorem proof

4 variants
Template 7

Choose the similarity theorem needed for a diagram

4 variants
Template 8

Use parallel segments to derive proportional sides

4 variants
Template 9

Derive the Pythagorean Theorem from altitude similarity

4 variants