Which congruence theorems can be used to prove AABR = AACR? Select three options. A. HL
B. AS
C. SSS
D. ASA
E. AAS

Answers:

A)  HL

B)  SAS (I'm assuming you meant to say SAS instead of AS)

C)  SSS

Explanation:

The square angle marker tells us we have 90 degree angles. So these are right triangles.

Because we're dealing with right triangles, we could use HL which stands for "hypotenuse leg". The hypotenuse is AR for either triangle, and you could use either of these two pairs for the leg

The tickmarks tell us which sides are the same length. We can see that

We also know that angle ABC = angle ACR because all right angles are congruent. These facts allow us to use SAS (side angle side). I'm assuming you meant to say "SAS" instead of "AS" for choice B.

SSS stands for "Side Side Side". It means if we know that three pairs of sides are congruent, then we can prove the triangles congruent overall.

The three pairs of congruent sides are:

Side notes:

a = 11 : 4

b = 38

c = 1 for every 6