Question

are these shapes congruent?
o
22 km
n
37°
143°
22 km
143°
22 km
l
37°
22 km
m
18 km
v
u
37°
143°
18 km
18 km
143°
37°
18 km
w
x
yes
no

Explanation:

Step1: Recall Congruence Definition

Congruent shapes have same shape and size (corresponding sides equal, corresponding angles equal).

Step2: Compare Side Lengths

First shape (OLNM?): sides are 22 km, 22 km, 22 km, 22 km? Wait, no, first quadrilateral: sides \( ON = 22 \) km, \( NM = 22 \) km, \( ML = 22 \) km? Wait, no, looking at the first figure: \( O \) to \( N \): 22 km, \( N \) to \( M \): 22 km, \( M \) to \( L \): 22 km? Wait, no, first figure: \( O \) to \( L \): 22 km, \( O \) to \( N \): 22 km, \( N \) to \( M \): 22 km, \( M \) to \( L \): 22 km? Wait, second figure: sides are 18 km, 18 km, 18 km, 18 km? Wait, first figure's sides: 22 km (O to L), 22 km (O to N), 22 km (N to M), 22 km (M to L)? Wait, no, first figure: angles 37°, 143°, 143°, 37° (since quadrilateral angles sum to 360: 37+143+143+37=360). Second figure: angles 37°, 143°, 143°, 37°, same angles. But side lengths: first figure has sides 22 km (e.g., O to N:22, N to M:22, M to L:22, L to O:22? Wait, no, first figure: O to L is 22, O to N is 22, N to M is 22, M to L is 22? Wait, second figure: U to V:18, V to W:18, W to X:18, X to U:18. So side lengths differ: 22 vs 18. So corresponding sides not equal.

Answer:

no