Question

in the figure, S is the mid pointof QR and PS perpendicular QR, then prove that triangle PSQ =~ triangle PSR

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Answer 1

Answer:

hi,

you can use sas congruence to prove its congruency

since PS is perpendicular it divides base RQ into two halves so

Rs=SQ(ps is perpendicular

angle psr= psq(90 degree)

ps=ps(common)

hence triangle psr is congruent to psq

Answer 2

Answer:

angle psq=psr

ps=ps

in triangle diagonal bisects the base

therefore sq=sr

hence the triangles are congruent