Question

state if the two triangles are congruent. if they are, state how you know.
a sss
b sas
c asa
d aas
e hl
f not congruent

Explanation:

Step1: Identify the type of triangles

The two triangles are right - angled triangles (marked with right - angle symbols).

Step2: Recall 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 right - angled triangles are congruent.
In the given figure, the hypotenuses (marked with one cross) and one leg (the common side) are equal.

Answer:

E. HL