Question

definition of ≅ △s
side - side - side (sss)
side - angle - side sas
angle - angle - side (aas)
angle - side - angle (asa)
hypotenuse - leg (hl)

Explanation:

Step1: Recall triangle congruence criteria

The Angle - Side - Angle (ASA) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

In the two triangles:

• There are two pairs of equal angles (\(50^{\circ}\) angles).
• The side of length \(4\mathrm{cm}\) is the included side between the two angles in each triangle.

Answer:

Angle - Side - Angle (ASA)