TriangIe BCD is rotated 180 degrees clockwise and then dilated by a factor of 4 centered at the origin. The resulting image is trinagle BCD. Which statement about the two triangles is true
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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.
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