Question

parallelogram $jklm$ is the pre - image of parallelogram $jklm$.
drag the correct words into the boxes to correctly complete the sentence.
since the pre - image be mapped onto the image by a sequence of transformations, the parallelograms congruent.

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).

Step2: Analyze the parallelograms

The pre - image parallelogram \(JKLM\) and image parallelogram \(J'K'L'M'\) have the same side lengths (\(9\) ft and \(12\) ft) and the same angle measures (\(70^{\circ}\) and \(110^{\circ}\)). So, it is possible to map the pre - image onto the image by a sequence of rigid transformations.

Answer:

Since the preimage can be mapped onto the image by a sequence of transformations, the parallelograms are congruent.