Question

are these shapes congruent?
w
66°
24°
y
r
24°
66°
q
p
yes
no

Explanation:

Step1: Recall the definition of congruent triangles

Congruent triangles have all corresponding sides and angles equal.

Step2: Check corresponding angles and sides

In triangle \(WYX\) and triangle \(PRQ\), we have:

• \(\angle Y = \angle R=90^{\circ}\)
• \(\angle W=\angle P = 66^{\circ}\)
• \(\angle X=\angle Q = 24^{\circ}\)
• The marked sides (by the same number of tick - marks) are equal. So, the triangles satisfy the Angle - Side - Angle (ASA) or other congruence criteria (since all corresponding angles and sides are equal).

Answer:

yes