Question

1. rectangle cdef undergoes a dilation centered at the origin. the result is the rectangle cdef. are the rectangles similar or congruent to each other? explain your reasoning.

Explanation:

Dilation is a transformation that changes the size of a figure but not its shape. Similar figures have the same shape but not necessarily the same size, and congruent figures have the same shape and size. Since dilation changes the size of rectangle CDEF to get C'D'E'F', the corresponding angles remain equal (all are 90 - degree angles for rectangles) and the side - lengths are in proportion. So the rectangles are similar but not congruent as their sizes are different.

Answer:

The rectangles are similar but not congruent. Dilation changes size while keeping shape, so angles are equal and side - lengths are proportional, which is the definition of similar figures, and since sizes are different, they are not congruent.