Help with geometry proofs please?!?!

[Mirabel]

I"m so confused on how to prove stuff. I know about SAS, SSS etc. but I am not sure to do proofs

 

[serds]

"If two triangles satisfy the SSA condition and the length of the side opposite the angle is greater than or equal to the length of the adjacent side, then the two triangles are congruent."
source: Wikipedia (congruence)

 

[Deleted member 4993]

View attachment 3046 I"m so confused on how to prove stuff. I know about SAS, SSS etc. but I am not sure to do proofs

For problem (1)

ST || UV → mRTS = mTUV → mSRT = mTVU → ASA→ congruence

Problem (2)

For right-triangles if two corresponding sides are equal → triangles are congruent (cor. of Pythagoras)