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

Question

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

anonymous · Answer

attachment

anonymous · Answer

SAS

tkhunny · Answer

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

anonymous · Answer

SAS

anonymous · Answer

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

tkhunny · Answer

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

anonymous · Answer

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