(4) In AABC and APQR shown below.
AB = QR
BC = RP
CA = PQ
R
С
S
А
B
P
Q
1) Are CD and PS equal? Why?
in) What is the relation between the areas of AABC and APOR?
Answers
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0
Answer:
We know that, if ΔRST is congruent to ΔUVW i.e., ΔRST = ΔUVW, then sides of ΔRST fall on corresponding equal sides of ΔUVW and angles of ΔRST fall on corresponding equal angles of ΔUVW.
Here, given AB = QR, BC = PR and CA = PQ, which shows that AB covers QR, BC covers PR and CA covers PQ i.e., A correspond to Q, B correspond to R and C correspond to P.
or A↔Q,B↔R,C↔P
Under this correspondence,
ΔABC ≅ ΔQRP, so option (a) is incorrect,
or ΔBAC ≅ ΔRQP, so option (c) is incorrect,
or ΔCBA ≅ ΔPRQ, so option (b) is correct,
or ΔBCA ≅ ΔRPQ, so option (d) is incorrect.
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Answer:
in this question a figure is also given
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