SOLUTION: I am unsure of how to answer this question. the question is: PQRS is a rhombus. the diagonals PR and QS intersect at T Prove that: a. diagonals PR and SQ bisect the ang

Algebra ->  Geometry-proofs -> SOLUTION: I am unsure of how to answer this question. the question is: PQRS is a rhombus. the diagonals PR and QS intersect at T Prove that: a. diagonals PR and SQ bisect the ang      Log On


   

Question 769697: I am unsure of how to answer this question.
the question is:
PQRS is a rhombus. the diagonals PR and QS intersect at T
Prove that:
a. diagonals PR and SQ bisect the angles for the rhombus.




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Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Take diagonal PR. It divides the rhombus into 2 triangles
PQR and PTR.
These 2 triangles are congruent - why? Because 2 sides PQ and TR are equal, so are
PT and QR (sides of a rhombus are equal) and the side PR is common.
So the corresponding angles of the 2 triangles are equal.
i.e. Angle PRT = angle PRQ
So PR bisects the angle R and also angle P.
You can similarly prove for the other diagonal QT also.
Hope you got it :)