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G-SRT.2 Warmup M2-047-A01-V01

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

Decide SSS similarity from three explicit ratios

Problem

Decide triangle similarity from \(T_{1}\) sides\(3,4,5\); \(T_{2}\) sides\(6,8,10\).

Neutral triangle side-length reference listing T1 sides 3, 4, 5 and T2 sides 6, 8, 10, without drawn triangles or a similarity cue. Open full size
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What this problem is really about

SSS similarity requires one consistent multiplicative relationship across all three corresponding sides. We’ll align shortest with shortest and continue in order, form every second-to-first ratio the same way, compare all three exact values, apply SSS only if they agree, and multiply the first side list forward as a check.

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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
Decide SSS similarity from three explicit ratios