Question

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Answer 1

Given the figure in the attached image .

we want to confirm if there are enough information to prove that the triangles JKL and NML are congruent.

From the figure;

side JK is congruent to side NM

Angle J is also given to be congruent to Angle N

And the angle L for the two triangles are congruent ( vertically opposite angles)

$\begin{gathered} JK\cong NM\ldots.\text{ given} \\ \angle J\cong\angle N\ldots\text{ given} \\ \angle L\cong\angle L\ldots..vertically\text{ opposite angles} \end{gathered}$

So we have two congruent angles and one congruent sides;

Applying AAS Postulate (Angle-Angle-Side rule) which states that when two angles and one side of a triangle are congruent to two corresponding angles and one side of another triangle, then the two triangles are congruent.

Therefore, the triangles JKL and NML are congruent.