Class 9 Practice – Level 3 – Set 2 – Triangles

Total questions: 15

In figure if QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°, What is the value of x and y.

Topic: Right-Angled Triangle

x = 50°, y = 70°

x = 50°, y = 80°

x = 40°, y = 80°

x = 50°, y = 100°

None

In figure ∠X = 62°, ∠XYZ = 54°. If YO and ZO are bisectors of ∠XYZ and ∠XZY respectively of △XYZ, find ∠YOZ

Topic: Angle Bisectors and Angle Calculation

∠YOZ = 71°

∠YOZ = 32°

∠YOZ = 55°

∠YOZ = 121°

None

In figure sides QP and RQ of △PQR are produced to point S and T respectively. If ∠SPR = 135° and ∠PQR = 110°, if ∠PRQ = 13k then the value of k is

Topic: Exterior Angle Property

k = 3

k = 4

k = 5

k = 6

None

If ABC and DEF are two triangle such that △ABC ≅ △FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true.

Topic: Congruence in Triangles

DF = 5 cm, ∠F = 60°

DE = 5 cm, ∠E = 60°

DF = 5 cm, ∠E = 60°

DE = 5 cm, ∠D = 40°

None

ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then ∠BAD = ?

Topic: Isosceles Triangle and Angle Calculation

55°

70°

35°

110°

None

If △ABC ≅ △ACB, then AB is isosceles with

Topic: Congruence of Isosceles Triangles

AB = AC

AB = BC

AC = BC

None of these

None

In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then △ABD is congruent to

Topic: Congruence of Right-Angled Triangles

△EFC

△ECF

△CEF

△FEC

None

In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC = 5 cm, then CD =

Topic: Angle Bisector and Length Calculation

2 cm

3 cm

4 cm

5 cm

None

In △ABC and △PQR given below, AB = PQ, BC = QR and ∠B = ∠Q = 90°. Which of the following congruency axioms is/are suitable to prove that △ABC ≅ △PQR ?

Topic: Congruence of Right-Angled Triangles

RHS

SAS

Both (A) and (B)

None of these

None

10.

In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if

Topic: Congruence in Triangles

BC = EF

AC = DE

AC = EF

BC = DE

None

11.

If length of the largest side of a triangle is 12 cm, then other two sides of triangle can be :

Topic: Triangle Inequality Property

4.8 cm, 8.2 cm

3.2 cm, 7.8 cm

6.4 cm, 2.8 cm

7.6 cm, 3.4 cm

None

12.

In figure, ∠DBA = 132° and ∠EAC = 120°. Then,

Topic: Angle Calculation in Triangle

AB = AC

AB < AC

AB > AC

Cannot be determined

None

13.

If two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of third side of the triangle cannot be?

Topic: Triangle Inequality Property

3.6 cm

4.1 cm

3.8 cm

3.4 cm

None

14.

In △PQR, if ∠R > ∠Q, then

Topic: Angle Comparison in Triangles

QR > PR

PQ > PR

PQ < PR

QR < PR

None

15.

The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D as shown in Fig, then the image is as far behind the mirror as the object is in front of the mirror.

Topic: Reflection and Image Formation in Plane Mirrors

True

False

None

1 out of 15

Time's up

Class 9 Practice – Level 3 – Set 2 – Triangles

Welcome back