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G-SRT.2 Warmup M2-047-A04-V03

Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.

Derive three separate vertex mappings in similar triangles

Problem

Given \(\angle~P~\cong~\angle~R\), \(\angle~Q~\cong~\angle~S\), and \(\angle~T~\cong~\angle~U\), write the \(\text{three}~\text{source}\text{-}\text{to}\text{-}\text{target}~\text{vertex}~\text{mappings}\), assemble the ordered triangle similarity statement, and verify the corresponding side pairs.

Neutral correspondence-evidence reference stating angle P congruent to R, Q congruent to S, and T congruent to U, without drawn triangles or connector mappings. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.2
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.
Problem type
Derive three separate vertex mappings in similar triangles