SOLUTION: Hello, I am having difficulty with this question: Given: Line TQ bisects angle RTS and line TQ is perpendicular to line RS. Prove: Line TQ bisects line RS.

Question 187789: Hello, I am having difficulty with this question:
Given: Line TQ bisects angle RTS and line TQ is perpendicular to line RS.
Prove: Line TQ bisects line RS.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I won't do the whole proof, but I'll give you a hint. To prove that line TQ bisects line RS, you need to show that RQ = QS. To show this, you need to show that triangle RTQ is congruent to triangle STQ. Once you've shown that the two triangles are congruent, then this will mean that the corresponding sides are congruent (specifically segments RQ and QS).

Let me know if this helps.
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