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G-SRT.4 Warmup M2-049-A11-V04

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

Choose the similarity theorem needed for a diagram

Problem

Points \(D\) and \(E\) lie on \(\text{two}~\text{sides}\) of a triangle, and \(DE\) is parallel to the third side. Name the theorem that directly proves the \(\text{two}~\text{sides}\) are divided proportionally.

Unworked geometric configuration showing only the supplied segment, angle, parallel, or right-angle evidence. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.4
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.
Problem type
Choose the similarity theorem needed for a diagram