Question

what are the corresponding parts of the figures below? select all that apply.

Explanation:

Step1: Analyze angle correspondence

In congruent figures, angles with the same measure are corresponding. $\angle K = 78^{\circ}$ and $\angle N = 78^{\circ}$, so $\angle K\cong\angle N$. $\angle J=41^{\circ}$, assume the third - angle in the second triangle (using angle - sum property of a triangle: $180-(61 + 78)=41^{\circ}$) is $\angle O$, so $\angle J\cong\angle O$.

Step2: Analyze side correspondence

Sides with the same length are corresponding. $KJ = 40$ (from the first triangle: side opposite the $61^{\circ}$ angle, using triangle side - angle relationships or just given lengths in a congruent - figure context). Assume $NO = 40$ (by congruence). $JI = 45$ (given in the first triangle) and assume $OM = 45$ (by congruence).

Answer:

$\angle K\cong\angle N$, $\overline{KJ}\cong\overline{NO}$, $\overline{JI}\cong\overline{OM}$, $\angle J\cong\angle O$