Question

PLEASE HELP!!
If the triangles are congruent, state how you know (SSS, SAS,ASA,AAS, HL). If their congruence cannot be proven with the given information, type N.

Answer 1

@jdoe0001

Answer 2

I think it's SAS

Answer 3

I only see one angle and one side as congruent. Where is the other side for SAS?

Answer 4

Each of these two triangles has a right angle, so you are dealing with two right triangles.

Answer 5

How do you prove two right triangles congruent?

Answer 6

by setting a proportion.....

Answer 7

No. I mean just like for triangles is general, you have ASA, SAS, SSS, AAS for proving triangles congruent, what is there specifically for proving right triangles congruent?

Answer 8

Look at the list of choices you have in the statement of the problem: SSS, SAS,ASA,AAS, HL.
What does HL mean? How is it used?

Answer 9

Answer is HL, hypotenuse leg.
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, the triangles are congruent.
This is what HL means.
In this case, this is exactly what you have.
Since the same segment is the hypotenuse of both right triangles, it is congruent to itself, and the hypotenuses are congruent.
you are given a two legs are congruent.
There you have HL.