Question

what additional information do you need to prove the triangles are congruent by sas?
options:
$mn \cong qn$
$lm \cong qp$
$\angle m \cong \angle q$
$\angle p \cong \angle l$
clear my selection

Explanation:

Step1: Recall SAS congruence rule

SAS requires two sides and included angle congruent.

Step2: Identify given congruent sides

From the diagram: $LN \cong PN$, vertical angles $\angle LNM \cong \angle PNQ$.

Step3: Find missing included side

For SAS, the other sides forming $\angle LNM$ and $\angle PNQ$ must be congruent: $MN \cong QN$.

Answer:

MN ≅ QN