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.

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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)   (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.
:

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statement reason
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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

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