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The two right scalene triangles shown are similar but not congruent. Which statement about the triangles is NOT true?

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The two right scalene triangles shown are similar but not congruent. Which statement about the triangles is NOT true?

∠EFC corresponds to ∠AFC.

Side FC in the red triangle corresponds to side AC in the blue triangle.

∠ECF corresponds to ∠FCA.

Side CE in the red triangle corresponds to side CF in the blue triangle.




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  1. The statement that is NOT true is: “Side CE in the red triangle corresponds to side CF in the blue triangle.”

    Explanation: In similar triangles, corresponding sides are in proportion, and corresponding angles are equal. Since the triangles are scalene, none of the sides are equal, and each side has a corresponding side in the other triangle. In this case, side CE in the red triangle should correspond to one of the sides in the blue triangle other than CF, since CF is not opposite the same angle as CE.

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