P
Q
R
2.5
10
6
M
N
L
5
70°
70°
State which pairs of triangles are similar. Write the similarity
criterion used by you for answering the question and also write the
pairs of similar triangles in the symbolic form :
Sol.
=
…(i)
ML
QR
=
…(ii)
2.5
6
5
10
MN
PQ
=
5
12
=
1
2
2
Corresponding sides are not proportional.
∴
ΔMNL and ΔPQR are not similar.
smaller side of ΔMNL
smaller side of ΔPQR
EX.6.3 Q.1 (iv)
A
B
C
80°
3
2.5
D
E
F
80°
6
5
Two triangles are not similar as a given pair of
equal angles is not included between given sides.
Sol :
State which pairs of triangles are similar. Write the similarity
criterion used by you for answering the question and also write the
pairs of similar triangles in the symbolic form :
EX.6.3 Q.1 (v)
700
800
D
E
F
30º
P
Q
R
Soln.
∠P
+ ∠Q
+ ∠R
=
1800
∠P
+
+
=
1800
∠P
=
1800
- 1100
∠P
=
700
In ΔPQR
80º
EX.6.3 Q.1 (vi)
State which pairs of triangles are similar. Write the similarity
criterion used by you for answering the question and also write the
pairs of similar triangles in the symbolic form :
80
30
700
800
D
E
F
30º
P
Q
R
Soln.
In Δ DEF and ΔPQR,
∠D
=
∠P
∠E
=
∠Q
∴
Δ DEF ~ Δ PQR
......... [each is 700]
......... [each is 800]
......... [by AA similarity criterion]
80º
State which pairs of triangles are similar. Write the similarity
criterion used by you for answering the question and also write the
pairs of similar triangles in the symbolic form :
EX.6.3 Q.1 (vi)