Question

Can someone please walk me through this? I am really struggling with these type of problems and don't know what to do.

Given: Line PS is perpendicular to line SQ, line RQ is perpendicular to line QS, line PQ is congruent to line RS

Prove: Triangle PSQ is congruent to triangle RQS

Answer 1

Mark off the data
The triangles are both right triangles
QS is a common side
They have congruent hypotenuses

Thus, they also have congruent sides PR and PS. (via the Pythagorean Theorem)

So, by SSS, the triangles are congruent.

Answer 2

Thank you!!!!!