Question

pete was able to map quadrilateral abcd onto efgh using a translation and a dilation. pete concluded: \i was able to map quadrilateral abcd onto efgh using a sequence of rigid transformations, so the figures are congruent.\ what error did pete make in his conclusion?

Explanation:

A dilation changes the size of a figure. Rigid transformations (like translation) preserve size and shape, but dilation is not a rigid transformation. Congruent figures must have the same size and shape. Since Pete used a dilation (which alters size), the figures are similar (same shape, different size) not congruent.

Answer:

Pete's error was that dilation is not a rigid transformation. Rigid transformations preserve size, but dilation changes the size. So the figures are similar (due to dilation and translation) not congruent.