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IX Math Ch 7 - Triangles

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

If the three altitudes of a Δ\Delta  are equal then triangle is

a)

isosceles

b)

equilateral

c)

right angled        

d)

none

2.

ABCD is a square and P, Q, R are points on AB, BC and CD respectively such that AP = BQ = CR and \angle PQR = 90 °\degree  , then \angle QPR is

a)

 45°45\degree  

b)

 50°50\degree  

c)

 60°60\degree  

d)

 75°75\degree  

3.

In a \Delta XYZ, LM ║ YZ and bisectors YN and ZN of \angle Y & \angle Z respectively meet at N on LM then YL + ZM =  

a)

YZ

b)

XY

c)

XZ

d)

LM

4.

In a \Delta PQR, PS is the bisector of \angle P and  \angle Q = 70 °\degree ,  \angle R = 30 \degree , then

a)

QS > PQ > PR

b)

QS < PQ < PR

c)

PQ > QS > SR

d)

PQ < QS < SR

5.

If D is any point on the side BC of a \Delta ABC, then 

a)

AB + BC + CA > 2AD

b)

AB + BC + CA < 2AD

c)

AB + BC + CA > 3AD

d)

None

6.

For given figure, which one is correct :

a)

ΔABCΔDEF\Delta ABC\cong\Delta DEF

b)

ΔABCΔFED\Delta ABC\cong\Delta FED

c)

ΔABCΔDFE\Delta ABC\cong\Delta DFE

d)

ΔABCΔEDF\Delta ABC\cong\Delta EDF

7.

Which of the following is not a criterion for congruence of triangles?

a)

SAS

b)

ASA

c)

SSA

d)

SSS

8.

In \Delta ABC, AB = AC and \angle B = 50°. Then \angle C is equal to

a)

40°

b)

50°

c)

80°

d)

130°

9.

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

a)

3.6 cm

b)

4.1 cm

c)

3.8 cm

d)

3.4 cm

10.

In triangles ABC and PQR, AB = AC, \angle C = \angle P and \angle B = \angle Q. The two triangles are

a)

isosceles but not congruent

b)

isosceles and congruent

c)

congruent but not isosceles

d)

neither congruent nor isosceles