AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AAQuestion 3
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Triangle Similarity: AA

Question 3 • *CR CCSS Math 2 S2 [M2960OX]

Which statements are true? Check all that apply.The corresponding sides of similar triangles have proportional lengths.The corresponding sides of congruent triangles have the same lengths.The corresponding angles of similar triangles have different measures.If corresponding sides of two triangles are not the same length, the triangles are not similar.If corresponding sides of two triangles are not the same length, the triangles are not congruent.

Answer
A
The corresponding sides of similar triangles have proportional lengths.
B
The corresponding sides of congruent triangles have the same lengths.
C
The corresponding angles of similar triangles have different measures.
D
If corresponding sides of two triangles are not the same length, the triangles are not similar.
E
If corresponding sides of two triangles are not the same length, the triangles are not congruent.

Explanation

Similar triangles have corresponding sides in the same ratio, though those sides do not have to be equal, so A is true and D is false. Congruent triangles have equal corresponding side lengths, making B true; if corresponding side lengths differ, the triangles cannot be congruent, so E is true. Similar triangles have equal corresponding angles, not different measures, so C is false.

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