Question

are these shapes congruent?
yes
no
submit

Explanation:

Step1: Define congruent polygons

Congruent polygons have all corresponding sides equal in length and all corresponding angles equal in measure.

Step2: Compare side lengths

First shape: $NO=20\ \text{m}$, $OQ=20\ \text{m}$
Second shape: $SV=20\ \text{m}$, $SF=20\ \text{m}$
All corresponding sides are equal.

Step3: Compare angle measures

First shape angles: $122^\circ, 58^\circ, 122^\circ, 58^\circ$
Second shape angles: $122^\circ, 58^\circ, 122^\circ, 58^\circ$
All corresponding angles are equal.

Answer:

yes