Class 9 Quiz Level 2 (Moderate) – Triangles

Total questions: 20

In △ABC, if ∠A +∠B =180° and ∠B +∠C =130° , find ∠A, ∠B and ∠C

Topic: Angle Sum Property of Triangle

Deselect Answer

∠A = 50°, ∠B = 58° and ∠C = 72°

∠A = 58°, ∠B = 72° and ∠C = 50°

∠A = 60°, ∠B = 45° and ∠C = 30°

∠A = 100°, ∠B = 108° and ∠C = 72°

None

AD and BC are equal perpendiculars to a line segment AB. Does the CD bisects AB?

Topic: Perpendiculars to a Line Segment

Deselect Answer

True

False

None

Calculate the value of x in each of the following figures.

Topic: Angle Sum Property of Triangle

Deselect Answer

x° = 55°

x° = 30°

x° = 70°

x° = 60°

None

In a right-angled triangle, one of the acute angles measures 53°. Find the measure of each angle of the triangle.

Topic: Angles in Right-Angled Triangle

Deselect Answer

∠A = 53°, ∠77° and ∠C = 80°

∠A = 53°, ∠37° and ∠C = 90°

∠C = 60° and ∠A = 53°, ∠67°

∠C = 30° and ∠A = 53°, ∠44°

None

In △ABC,∠A = ∠B = 45°. Which is its longest side?

Topic: Longest Side in a Triangle

Deselect Answer

BA is the longest side which is opposite to ∠C

AC is the longest side which is opposite to ∠B

BC is the longest side which is opposite to ∠A

None of the above

None

In △ABC, if ∠A +∠B = 125° and ∠A + ∠C = 113° , find ∠A, ∠B and ∠C.

Topic: Angle Sum Property of Triangle

Deselect Answer

∠ A = 30°, ∠B = 108° and ∠ C = 90°

∠ A = 58°, ∠B = 67° and ∠ C = 55°

∠ A = 58°, ∠B = 55° and ∠ C = 67°

∠ A = 108°, ∠B = 60° and ∠ C = 70°

None

In a right-angled triangle, one of the acute angles measures 53°. Find the measure of each angle of the triangle.

Topic: Angles in Right-Angled Triangle

Deselect Answer

∠A = 43°, ∠77° and ∠C = 60°

∠A = 53°, ∠37° and ∠C = 90°

∠A = 33°, ∠37° and ∠C = 30°

∠A = 23°, ∠55° and ∠C = 90°

None

P is a point on the bisector of ∠ABC. The line through P parallel to BA meets BC at Q. The △BPQ is an ___________

Topic: Triangles and Parallel Lines

Deselect Answer

equilateral triangle

isosceles triangle

right triangle

acute triangle

None

AD and BC are equal perpendicular to a line segment AB. Which of the following statement is true?

Topic: Perpendiculars to a Line Segment

Deselect Answer

CD bisects AB

AB bisects CD

CD intersect AB

DO bisects BA

None

10.

Is it possible to construct a triangle with lengths of its sides as given below?

Topic: Triangle Inequality Property

(i) 5 cm,4 cm,9 cm
(ii) 8 cm,7 cm,4 cm
(iii) 10 cm,5 cm,6 cm
(iv) 2.5 cm,5 cm,7 cm
(v) 3 cm,4 cm,8 cm.Deselect Answer

(i), (iii) wrong And (ii), (iv), (v) is correct

(i), (v) wrong And (ii), (iii), (iv) is correct

(ii), (iv) wrong And (v), (iii), (i) is correct

None of these

None

11.

The sum and difference of two angles of a triangle are 128° and 22° respectively. Find the measure of the smallest angle of the triangle.

Topic: Angle Properties in Triangles

Deselect Answer

52°

75°

53°

42°

None

12.

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

Topic: Altitudes in Triangles

Deselect Answer

isosceles

equilateral

right angled

scalene

None

13.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig.). Which statement is true?

Topic: Altitudes in Triangles

Deselect Answer

△ABE ≅ △ACF

AB = AC

CA = BA

None of these

None

14.

AD is an altitude of an isosceles triangle ABC in which AB = AC .

Topic: Isosceles Triangle Properties

(i) AD bisects BC .
(ii) AD bisects ∠A .

Deselect Answer

Yes

None

15.

In ΔABC, let ∠A = 120° and AB = AC. What is the value of ∠B

Topic: Isosceles Triangle Properties

Deselect Answer

30°

60°

70°

80°

None

16.

In △ABC, the bisector AD of ∠A is perpendicular to side BC. Which of the following option is correct?

Topic: Angle Bisector Theorem

Deselect Answer

△ABC is an isosceles triangle

△ABC is an equilateral triangle

△ABC is an acute triangle

△ABC is an right triangle

None

17.

In △ABC, AD is the median through A and E is the mid-point of AD. BE produced meets in F figure. Then the value of AF is equal to

Topic: Median of a Triangle

Deselect Answer

$ \displaystyle \dfrac{1}{{4\text{AC}}}$

$ \displaystyle \dfrac{1}{{2\text{AC}}}$

$ \displaystyle \dfrac{1}{{3\text{AC}}}$

$ \displaystyle \dfrac{3}{{3\text{AC}}}$

None

18.

In the figure shown below, ∠B = ∠C = 65° and ∠D = 35° . Which one of the following is a true statement?

Topic: Angles of a Triangle

Deselect Answer

BC < CA < CD

BC > CA > CD

BC = CD = CA

BC > CA, CA < CD.

None

19.

The angles of a triangle are in the ratio 3 : 5 : 10. What is the measure of the greatest angle of the triangle.

Topic: Angles of a Triangle

Deselect Answer

80°

100°

110°

90°

None

20.

In the given figure, if AB = 3 cm, AC = 3 cm and ∠A = 50° , What is the value of ∠B.

Topic: Isosceles Triangle Properties

Deselect Answer

95°

65°

85°

75°

None

1 out of 20

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Class 9 Quiz Level 2 (Moderate) – Triangles

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