Question

if △dcb ≅ △mnl, what are the corresponding parts? select all that apply.
db ≅ ml
b ≅ l
d ≅ m
c ≅ n

Explanation:

Step1: Recall congruent - triangle property

When $\triangle DCB\cong\triangle MNL$, corresponding sides and angles are congruent.

Step2: Identify corresponding sides

The order of vertices in the congruence statement $\triangle DCB\cong\triangle MNL$ gives the correspondence. $D$ corresponds to $M$, $C$ corresponds to $N$, and $B$ corresponds to $L$. So, side $\overline{DB}$ corresponds to $\overline{ML}$.

Step3: Identify corresponding angles

For angles, $\angle D$ corresponds to $\angle M$, $\angle C$ corresponds to $\angle N$, and $\angle B$ corresponds to $\angle L$. So, $\angle B\cong\angle L$, $\angle D\cong\angle M$, and $\angle C\cong\angle N$.

Answer:

1. $\overline{DB}\cong\overline{ML}$
2. $\angle B\cong\angle L$
3. $\angle D\cong\angle M$
4. $\angle C\cong\angle N$