Problem preview

G-CO.6 Warmup M1-041-A10-V03

Use rigid motions to transform figures and decide whether two figures are congruent.

Reject congruence using a specific measurement mismatch

Problem

Explain why a segment of length \(7\) is not congruent to a segment of length \(7.5\), using the specific measurement mismatch.

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These figures are not congruent because rigid motions preserve length, and one segment is 7 while the other is 7.5.

These figures are not congruent because segments with decimal lengths like 7.5 cannot be congruent to any whole-number segment.

These figures are not congruent because a rigid motion could change a 7-unit segment into a 7.5-unit segment by moving it.

These figures are congruent because 7 and 7.5 are close enough to match approximately.

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Curriculum context

Course: Math I
Standard: G-CO.6
Category: Geometry
Domain: Congruence
Objective: Use rigid motions to transform figures and decide whether two figures are congruent.
Problem type: Reject congruence using a specific measurement mismatch