Question

are $overline{pq}$ and $overline{xy}$ congruent?
j 117 m r
167 m
167 m
k
q
58 m
58 m
n 90 m p
u
117 m
117 m
t
107 m
s 11
yes
no

Explanation:

Step1: Recall congruent - segment definition

Two segments are congruent if they have the same length.

Step2: Identify lengths

From the figure, the length of $\overline{PQ}=58$ m. But there is no information about the length of $\overline{XY}$. However, if we assume the two - polygons are related in a way that we can compare corresponding parts, and since no other information about $\overline{XY}$ is given and we have no reason to assume it has the same length as $\overline{PQ}$, we consider the general case.

Answer:

no