Question

are these triangles congruent?
yes, by sss
yes, by sas
yes, by aas
yes, by hl

Explanation:

Step1: Analyze the given triangles

We have two right - angled triangles (since there is a right angle marked). The hypotenuse (the side opposite the right angle) is common for both triangles (the side from \(M\) to the other vertex). Also, one of the legs (the non - hypotenuse sides) is marked as equal (the sides with the tick mark).

Step2: Apply the HL (Hypotenuse - Leg) congruence criterion

For right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent. Here, we have a right angle (so they are right - angled triangles), the hypotenuse is common (so equal) and one leg is equal (marked with a tick).

Answer:

Yes, by HL