Question

1. if △kpl≅△acm, complete each part.

a) \\(\overline{kl}\cong\\_\\_
b) \\(\overline{ac}\cong\\_\\_
c) \\(\overline{pl}\cong\\_\\_
d) \\(\angle p\cong\\_\\_
e) \\(\angle k\cong\\_\\_
f) \\(\angle m\cong\\_\\_

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle KPL\cong\triangle ACM$, corresponding sides and angles are congruent.

Step2: Identify corresponding sides

The corresponding sides of congruent triangles are equal in length. For $\triangle KPL\cong\triangle ACM$, the corresponding sides are: $\overline{KL}\cong\overline{AM}$, $\overline{KP}\cong\overline{AC}$, $\overline{PL}\cong\overline{CM}$.

Step3: Identify corresponding angles

The corresponding angles of congruent triangles are equal in measure. So, $\angle K\cong\angle A$, $\angle P\cong\angle C$, $\angle L\cong\angle M$.

Answer:

a) $\overline{AM}$
b) $\overline{KP}$
c) $\overline{CM}$
d) $\angle C$
e) $\angle A$
f) $\angle L$