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G-SRT.5 Warmup M2-050-A09-V03

Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.

Solve a triangle design with validity, method, scale, and side fields

Problem

A valid triangle has side lengths \(a\), \(b\), and \(c\). Every linear dimension is doubled. Express the image's side lengths and classify the image as congruent to or merely similar to the original.

Prompt diagram of a valid triangle with side lengths a, b, and c. Every linear dimension is to be multiplied by the uniform scale factor 2; the resulting side expressions and relationship are left unknown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.5
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Problem type
Solve a triangle design with validity, method, scale, and side fields