Question

TRY THESE
1. In Fig 7.14, lengths of the sides of the triangles are indicated. By applying
are congruent. In case of
congruence rule, state which pairs of triangles
triangles, write the result in symbolic form,
D
PI
2.2 cm
3.5 cm
2.2 cm
1.5 cm
3 cm
1.5 cm
3.5 cm
2.5 cm
R
3.2 cm
B
2.5 cm
С
M
3.2 em
()
E
3 cm
P
5 cm
4 cm
3.5 cm
3.5 cm
7 B
5 cm
С
4 cm
D
2.5 cm
Q
R
2.5 cm
B
2.5 cm
Fig 7.14
(iv)​

Answer 1

Answer:

i)Since

AB = PQ

BC = QR

CA = PR

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

∆ABC ≅ ∆PQR

ii)Since,

ED = MN

DF = NL

FE = LM

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

∆EDF ≅ ∆MNL

iii) Since

AC = PR

BC = QR But

AB is not equal to QR

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.

∆ADB ≅ ∆ADC