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Distinguish similarity from congruence
Worksheet
Grade Level
Geometry
GEO.104 Distinguish similarity from congruence
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A polygon is dilated by scale factor 2, then dilated by scale factor 1/2 about the same center, and finally rotated. Which relationship and evidence are correct for the original polygon and final image?
A
Congruence; the net scale factor is 2 x 1/2 = 1 and rotation is rigid.
B
Similarity; any use of a dilation makes congruence impossible.
C
Congruence; the net scale factor is 2 + 1/2 = 2.5.
D
Similarity; the rotation changes all side lengths by 1/2.
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