Question

Choose the correct answer from the options given below. (2 × 1 = 2 marks)

a) In Fig. 1, the lengths of the sides of the triangles are indicated. Which of the

following relations of congruence is true?

(i) ΔABC ≅ ΔPQR

(ii) ΔACB ≅ ΔQRP

(iii) ΔBAC ≅ ΔQPR

(iv) ΔABC ≅ ΔQRP
​

Answer 1

Answer:

ii) ∆ACB=∆QRP

SINCE THE SIDES ARE IN EQUAL RATIO...SO ACCORDING TO SSS(SIDE SIDE SIDE) PROPERTY..

THESE TWO TRIANGLES ARE CONGRUENT TO EACH OTHER.

Answer 2

Answer:

Answer is option ii) ∆ACB=∆QRP

explaination

given

in fig 1.1

(<AB=5cm

<AC=3cm

<BC=4cm ) eq-1

in fig 1.2

(<PQ=5cm

<PR=4cm

<RQ=3cm) eq-2

(<AB=<QP from eq1 and 2

<BC=<PR from eq1 and 2

<AC=<RQ) eq 3

hence

from eq 3

<ABC=<QPR

therefore

∆ABC=∆QRP

hence proved!