Question

is figure abcd congruent to figure klmn? explain. the figures are not congruent because figure abcd only maps onto figure klmn by a dilation. the figures are not congruent because figure abcd does not map onto figure klmn by a sequence of transformations. the figures are congruent because figure abcd maps onto figure klmn by a rotation. the figures are congruent because figure abcd maps onto figure klmn by a reflection and a translation.

Explanation:

Step1: Recall congruence definition

Two figures are congruent if one can be mapped onto the other by a sequence of rigid - motions (translations, rotations, reflections). Dilation changes the size of a figure and is not a rigid - motion.

Step2: Analyze given options

A dilation changes the size of a figure, so if Figure ABCD only maps onto Figure KLMN by a dilation, they are not congruent. Rigid - motions (translations, rotations, reflections) preserve size and shape for congruence.

Answer:

The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.