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 congruent because figure abcd maps onto figure klmn by a rotation.
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 reflection and a translation.

Explanation:

To determine if the figures are congruent, we check if one can be mapped to the other via rigid transformations (reflection, rotation, translation) which preserve size and shape. Dilation changes size, so if dilation is involved, figures aren't congruent. The first option says they aren't congruent because ABCD maps to KLMN by dilation (which changes size), so they can't be congruent (congruent figures require same size/shape, preserved by rigid transformations, not dilation).

Answer:

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