Question

determine the congruent criteria that can be used to pr
definition of ≅ △s
side - side - side (sss)
side - angle - side sas
angle - angle - side (aas)
angle - side - angle (asa)
hypotenuse - leg (hl)

Explanation:

Step1: Analyze the given information

We have two triangles with one angle ($80^{\circ}$) equal and one pair of sides (marked with double - tick) equal.

Step2: Recall the congruence criteria

• SSS: Requires three pairs of equal sides.
• SAS: Requires two pairs of equal sides and the included angle.
• AAS: Requires two pairs of equal angles and a non - included side.
• ASA: Requires two pairs of equal angles and the included side.
• HL: Applies to right - angled triangles.

Since we have two angles (the $80^{\circ}$ angle and the angle at the vertex with double - ticked sides) and a non - included side (the side with double - tick), we use the AAS (Angle - Angle - Side) criterion.

Answer:

Angle - Angle - Side (AAS)