Question 168331
GIVEN: linePS and lineQT are chords intersecting at R.
PROVE: triangleQRP is similiar to triangle SRT.
STATEMENTS
Comment: Draw the picture so you can see why the reasons are what they are.
-------------------------------------------------------------------------------
1. line PS and lineQT are chords intersecting at R. 
1. Reason: Given.
-------------------------------
2. angle QPS is congruent to angle STQ and 
angle PQT is congruent to angleTSP. 
2. Reason: Each angle pair subtends the same arc and therefore 
mQPS=mSTQ and mPQT=mTSP.
3. angle QRP = angle SRT.
3. Reason : these are vertical angles
4. triangle QRP is similiar to triangle SRT.
4: Reason: three angles of one triangle are correspondingly equal to three angles of the other triangle.  
I just need the reasons for numbers 2 and 3.
===========================================
Cheers,
Stan H.