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G-CO.2 Warmup M1-037-A10-V03

Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.

Compare transformations by their effects on distances and angles

Problem

Compare dilation by \(1/2\) and dilation by \(3\) by how they affect distances and angle measures.

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The dilation by 1/2 changes angle measures because shrinking makes angles smaller, while the dilation by 3 preserves angles and triples distances.

Both dilations preserve distances and angle measures, since dilations keep the same shape even when the image looks bigger or smaller.

Both dilations preserve angle measures, and only the dilation by 3 changes distances because a scale factor of 1/2 is too close to 1 to matter.

Both dilations preserve angle measures, but the dilation by 1/2 halves distances while the dilation by 3 triples distances.

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Curriculum context

Course: Math I
Standard: G-CO.2
Category: Geometry
Domain: Congruence
Objective: Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Problem type: Compare transformations by their effects on distances and angles