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Question

Pick the option which matches the two columns.


A

(A)q;(B)s;(C)p;(D)r

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B

(A)q;(B)p;(C)r;(D)s

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C

(A)s;(B)p;(C)q;(D)r

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D

(A)s;(B)r;(C)p;(D)q

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Solution

The correct option is A

(A)q;(B)s;(C)p;(D)r


(A)q;(B)s;(C)p;(D)r
(A) In ΔPQS and ΔPRS
PQ = PR = 6 cm [given]
PS = PS [common]
PSQ=PSR=90
ΔPQSΔPRS (by R.H.S congruency)

(B) In ΔPOQ and ΔROS,
PQ=RS=6cm
QPO=SRO=30
POQ=ROS (vertically opposite angles)
ΔPOQΔROS (by AAS congruency)

(C) Similarly, we can prove
ΔPORΔQOS (by SAS congruency)

(D) InΔPMQ and ΔPMR,
PQ=PR (given)QM=RM (given)PM=PM (common)
ΔPMQΔPMR (by SSS congruency)


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