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.

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.

step-by-step explanation:

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