Question

( Picture attached below )
Based only on the information given in the diagram, which congruence theorems could be given as reasons why ABC ~ XYZ?

Answer 1

SAS

Answer 2

A and D are out. The others are good. We don't have the hypotenuse.

Answer 3

SAS

Answer 4

You can see from the diagram you are given a side and angle and another side

Answer 5

SSS - No good. We don't have the hypotenuse.
LA - Same as ASA, but for Right Triangles. Yes.
LL - Same as SAS, but for Right Triangles. Yes.
HL - No good. We don't have the hypotenuse.
SAS - Yes.
ASA - Yes

Answer 6

@tkhunny I get what your saying thanks for the help! Really appreciate it!