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GIVEN : PQ = PR and QS = SR
To prove : 1.) ∆ PQS = ∆ PRS
2.)/_PSQ = /_ PSR = 90⁰
3.) /_Q = /_R
4.) /_QPS = /_RPS
Solution : 1.] ∆PQS = ∆ PRS ( congruent triangles)
prove ; PS is the bisector which divide ∆ PQS = ∆ PRS into two equal parts therefore ∆ PQS = ∆ PRS proved.
2.] /_PSQ = /_ PSR = 90⁰ ( PS is perpendicular bisector )
3.] /_Q = /_R ( PSQ = PSR ) { PS is perpendicular bisector }
4.] /_QPS = /_RPS ( PS is perpendicular bisector therefore they are both equal )
I HAVE GIVEN BOTH TEXT AS WELL AS WRITTEN IN NOTEBOOK ,
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