The ABC Toy Company is creating two similar pieces for a board game, as shown. How could the toy maker confirm that the pieces are similar using a transformation?

A. Verify ∠A ≅ ∠D and ∠B ≅ ∠E by translation.

B. Verify segment AB ≅ segment DE and segment BC ≅ segment EF by translation.

C. Verify ∠A ≅ ∠D and ∠B ≅ ∠E by reflection.

D. Verify segment AB ≅ segment DE and segment BC ≅ segment EF by reflection.

Question

Chief

Mathematics

27 April, 16:56

The ABC Toy Company is creating two similar pieces for a board game, as shown. How could the toy maker confirm that the pieces are similar using a transformation?

A. Verify ∠A ≅ ∠D and ∠B ≅ ∠E by translation.

B. Verify segment AB ≅ segment DE and segment BC ≅ segment EF by translation.

C. Verify ∠A ≅ ∠D and ∠B ≅ ∠E by reflection.

D. Verify segment AB ≅ segment DE and segment BC ≅ segment EF by reflection.

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Answers (1)

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Francesca Shea · Answer 1

A

Step-by-step explanation:

You cant verify the similarity of triangles through their sides, as only angles stay the same, so that eliminates options B and D. Option C is wrong because reflection would be reflecting a figure over someting, say the x-axis. This leaves option A as the only correct choice. Good Luck on the Quiz!