Question

R
7. In the given figure, ABCD is a square and
angle PQR = 90°. If PB = QC = DR, prove that
(i) QB = RC, (ii) PQ = QR, (iii) angle QPR = 45°.

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Answer 1

Answer:

In triangle PBQ and triangle QCR

PB is equal to QC( given)

Angle B is equal to AngleC (90)

Angle Q is equal to Angle R

Therefore Triangles are congruent by AAS

QB=RC (Cpct)

PQ=QR(Cpct)