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QUESTION IMAGE

determine if the triangles are congruent. highlight \yes\ or ot enough …

Question

determine if the triangles are congruent. highlight \yes\ or
ot enough information\ by dragging the green rectangle over the correct answer.
yes, they are congruent
not enough information
if you said yes, choose the correct reason...
sss sas asa
aas hl

Explanation:

Step1: Recall congruence criteria

The congruence criteria for triangles are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze the given triangle parts

In the figure, we have two sides equal (marked with double lines) and the included angle (the angle between the two sides) is common.

Step3: Apply the SAS criterion

Since we have two sides and the included angle equal, by the SAS (Side - Angle - Side) congruence criterion, the two triangles are congruent.

Answer:

Yes, they are congruent. SAS.