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G-SRT.2 Warmup M2-047-A04-V02

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 side correspondences \(AB~\leftrightarrow~XY\), \(BC~\leftrightarrow~YZ\), and \(AC~\leftrightarrow~XZ\), use common endpoints to derive each vertex mapping, then assemble the ordered triangle similarity statement and check \(\text{all}~\text{three}~\text{sides}\).

Neutral correspondence-evidence reference stating AB corresponds to XY, BC corresponds to YZ, and AC corresponds to XZ, 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