Question

try it! investigate the angle - angle - side (aas)
congruence criterion

1. using the figures shown, describe a sequence of rigid motions that maps

$\triangle jkl$ to $\triangle qrp$.

Explanation:

Step1: Rotation

A \(180^{\circ}\) rotation around the mid - point of the non - marked side changes the orientation of \(\triangle{JKL}\) to make it closer in orientation to \(\triangle{QRP}\).

Step2: Translation

After rotation, a translation (a slide) is needed to move the rotated \(\triangle{JKL}\) to the exact position of \(\triangle{QRP}\) so that all corresponding vertices match.

Answer:

First, rotate \(\triangle{JKL}\) \(180^{\circ}\) around the mid - point of the non - marked side. Then, translate the rotated triangle so that it coincides with \(\triangle{QRP}\).