triangle proof?

Question

You should draw the diagram.

Given: RP is congruent to RQ
SP is congruent to SQ
Prove: RT bisects PQ

Diagram: Triangle SPQ(small) is within triangle RPQ(big) they look like isos. triangles
R is the vertex of the big triangle , S is the vertex of the small triangle.PQ is the base of both triangles and T lies in the middle of PQ. RT is a line that comes straight down from R and S is on that line


I hope that was a good description..

Answer 1

I think I got it.
We can prove that triangles RQS= RPS by SSS
Proving that, we can prove that angle QRS= angle PRS by congrent triangles
Thus RS bisects the third angle of an isoceles triangle.
Then triangle QRT=triangle PRT by SAS
By congruent triangle props, QT=TP.
QED