Question

1. Choose the correct answer from the options given below. (2 x 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?
А
3 cm
(i) AABC = APQR NO
R
(ii) AACB = AQRP Yes
5 cm
3 cm
4 cm
5 cm
(iii) ABAC = AQPR yes
С C
B
(iv) AABC = AQRP No
4 cm
P
Fig. 1​

Answer 1

Answer:

Since

AB = PQ

BC = QR

CA = PR

So, by SSS congruency rule both triangles are congruent to each other.

ii) Since,

ED = MN

DF = NL

FE = LM

So, by SSS congruency rule both triangles are congruent to each other.

.

iii) Since

AC = PR

BC = QR But

So the given triangles are not congruent.

iv) Since,

AD = AD

AB = AC

BD = CD

So, By SSS Congruency rule, they both are congruent to each other.

.

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