Triangle BCD is rotated 180° clockwise and then dilated by a factor of 4 centered at the origin. The resulting image is triangle B'C'D'. Which statement about the two triangles is true?

A) The area of ABCD is 4 times the area of AB'C'D'.

B) The perimeter of ABCD is 4 times the perimeter of AB'C'D'.

C) The corresponding sides of ABCD and AB'C'D' are congruent.

D) The corresponding angles of ABCD and AB'C'D' are congruent.

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2020-02-24T13:48:10+01:00

Answer:

B) The perimeter of ABCD is 4 times the perimeter of A'B'C'D'.

D) The corresponding angles of ABCD and A'B'C'D' are congruent.

Step-by-step explanation:

If triangle BCD is rotated 180° clockwise and then dilated by a factor of 4 centered at the origin;

The area of ABCD is 16 (NOT 4 ) times the area of A'B'C'D'.

B) The perimeter of ABCD is 4 times the perimeter of AB'C'D'.

The corresponding sides of ABCD and A'B'C'D' are in the same proportion and are NOT congruent because dilation is not a rigid transformation.

D) The corresponding angles of ABCD and A'B'C'D' are congruent because the two shapes are similar.