Problem preview

G-SRT.2 Warmup M2-047-A03-V03

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

Classify a transformation sequence by similarity invariants

Problem

A figure undergoes a nontrivial shear. Test whether angles are preserved and whether all lengths share \(\text{one}~\text{scale}~\text{factor}\), identify any failed similarity invariants, and classify the transformation.

Answer choices

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No. A shear has scale factor 1, so it cannot establish similarity.

Yes. A shear is a rigid motion.

Yes. A shear preserves angles and all lengths.

No. A nontrivial shear does not generally preserve angles or one uniform scale factor.

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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: Classify a transformation sequence by similarity invariants