SOLUTION: Given: Angle PQT and angle RQT are right angles, Line PQ is congruent to line QR, Angle VQT is congruent to angle SQT. Prove: Line VQ is congruent to line SQ.

Algebra ->  Geometry-proofs -> SOLUTION: Given: Angle PQT and angle RQT are right angles, Line PQ is congruent to line QR, Angle VQT is congruent to angle SQT. Prove: Line VQ is congruent to line SQ.      Log On


   

Question 173951: Given: Angle PQT and angle RQT are right angles, Line PQ is congruent to line QR, Angle VQT is congruent to angle SQT.
Prove: Line VQ is congruent to line SQ.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
I hope I have drawn this figure correctly. I put the V between the P and P and the S between the R and T.
:



*********************************************************************

            statement                           reason

*********************************************************************



1.Angle PQT and angle RQT are right angles   1.givens

  PQ is congruent to line QR



2. QT  congruent to QT                       2. Reflexive prop.



3.Tri- PQT  congruent to Tri RQT             3. SAS



4.angle RTQ  congruent to angle PTQ          4. CPCTC



5.Tri SQT  congruent to Tri VQT              5. ASA



6.angle VQT congruent SQT                    6. given 



7 VQ congruent to SQ                         7. CPCTC 







CPCTC- corresponding parts of congruent triangles are congruent

:

SAS,ASA- side angle side, angle side angle postulates