Problem preview
G-CO.2 Warmup M1-037-A10-V01

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 translation and dilation by \(2\) by how they affect distances and angle measures.

Big Picture

What this problem is really about

“Same shape” and “same size” are different claims, so we need separate tests for angles and distances. We’ll find the length multiplier and angle effect for each transformation, then organize the comparison by what both maps preserve and what only one of them preserves.

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Four variants of this problem type
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