Question

rectangles (abcd) and (abcd) are shown on the coordinate plane.

which statement describes a sequence of transformations that can be used to verify that rectangle (abcd) is similar to rectangle (abcd)?

a) dilate rectangle (abcd) with a scale factor of (\frac{1}{2}) about the origin, followed by a translation down 5 units and to the left 7 units.

b) dilate (abcd) rectangle with a scale factor of 2 about the origin, followed by a (180^circ) rotation counterclockwise about the origin.

c) dilate rectangle (abcd) with a scale factor of (\frac{1}{2}) about the origin, followed by a (180^circ) rotation counterclockwise about the origin.

d) dilate rectangle (abcd) with a scale factor of 2 about the origin, followed by a translation down 5 units and left 7 units.

Explanation:

Answer:

C. Dilate rectangle ABCD with a scale factor of $\frac{1}{2}$ about the origin, followed by a 180° rotation counterclockwise about the origin.