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which criterion, if any, could prove the triangles are congruent? a. as…

Question

which criterion, if any, could prove the triangles are congruent?
a. asa
b. sas
c. hl
d. none

Explanation:

Step1: Recall congruence criteria for right - angled triangles

For right - angled triangles, the HL (Hypotenuse - Leg) criterion states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

The given triangles are right - angled (as there are right angles). We assume the marked equal sides are legs and the non - marked sides (the slanting sides) are hypotenuses.

Answer:

C. HL