Question

Mathematics Class 8 th

(4) In ABCand APOR shown below.

AB=QR BC=RP CA=PQ


i) Are CD and PS equal? Why?

ii) What is the relation between the areas of AABC and APQR?

​

Answer 1

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.

Step-by-step explanation: