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M1-041-A10-V02
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G-CO.6
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M1-041-A10-V02
Use rigid motions to transform figures and decide whether two figures are congruent.
Reject congruence using a specific measurement mismatch
Problem
Explain why a quadrilateral with angles \(90°\), \(90°\), \(90°\), \(90°\) is not congruent to a quadrilateral with angles \(80°\), \(100°\), \(90°\), \(90°\), using the specific measurement mismatch.
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A
These figures are not congruent because a rigid motion could change the 80° and 100° angles into 90° angles if the figure were turned correctly.
B
These figures are not congruent because their corresponding angles do not match: one figure has four 90° angles, but the other has 80°, 100°, 90°, and 90°.
C
These figures are not congruent because both figures are quadrilaterals, and quadrilaterals cannot ever be exact matches.
D
These figures are not congruent because one pair of corresponding side lengths must be different, even though the question does not give any side lengths to compare.
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Curriculum context
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
