Question

are the two right triangles congruent? explain.
4 - 5: lesson quiz
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Explanation:

Step1: Check congruence condition

In right - angled triangles, if a non - hypotenuse side and a non - right angle of one triangle are equal to the corresponding non - hypotenuse side and non - right angle of another triangle, the AAS (Angle - Angle - Side) congruence criterion is satisfied.
Here, we have two right - angled triangles (right angles are equal). One pair of non - right angles are equal (as per the figure), and one pair of non - hypotenuse sides (marked with cross) are equal.

Answer:

Yes, the triangles are congruent by AAS.