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CBSE Class 9 Answered

In the figure, PQRS is a square. M is the midpoint of PQ and AB RM. Prove that RA = RB.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

In APM and BQM

APM = BQM = 90o

AMP = BMQ (vertically opp. s.)

PM = QM (M is the mid point)

(ASA congruence rule)

AM = MB (c.p.c.t)

In AMR and BMR

AM = MB

AMR = BMR = 90o

RM = RM

(SAS congruence rule)

Hence RA = RB (c.p.c.t)

Answered by | 04 Jun, 2014, 03:23: PM

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