Question

in the diagram, $overline{kl}congoverline{rq}$. what additional information is needed to prove $\triangle jklcong\triangle prq$ by asa? enter your answers in the boxes. $angle2conganglesquare$ and $anglesquareconganglesquare$

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) requires two pairs of corresponding angles to be congruent and the included side between them to be congruent. Given $\overline{KL}\cong\overline{RQ}$, we need the angles adjacent to these sides.

Step2: Identify the first - pair of angles

Since $\overline{KL}$ and $\overline{RQ}$ are the given congruent sides, for $\triangle JKL$ and $\triangle PRQ$, we need $\angle 2\cong\angle 5$ as one of the angle - pairs.

Step3: Identify the second - pair of angles

The other pair of angles should be $\angle 1\cong\angle 4$ which are the other angles adjacent to the congruent sides $\overline{KL}$ and $\overline{RQ}$.

Answer:

$\angle 2\cong\angle 5$ and $\angle 1\cong\angle 4$