Class 9 Practice – Level 2 – Set 1 – Triangles

Total questions: 25

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

Topic: Angle Sum Property of Triangle

∠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

The sum of two angles of a triangle is 116° and their difference is 24° Find the measure of each angle of the triangle.

Topic: Linear Pair of Angles in Triangle

∠ A = 60°, ∠ B = 46° and ∠ C = 104°.

∠ A = 100°, ∠ B = 50° and ∠ C = 70°.

∠ A = 70°, ∠ B = 46° and ∠ C = 64°.

∠ A = 30°, ∠ B = 55° and ∠ C = 90°.

None

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

Topic: Angle Sum Property of Triangle

∠ 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

AM ⊥ BC and AN is the bisector of ∠A. If ∠ABC = 70° and ∠ACB = 20° find the value of ∠MAN

Topic: Angle Bisector and Perpendicular

∠MAN = 90°

∠MAN = 30°

∠MAN = 25°

∠MAN = 58°

None

In the figure given alongside, AB ∥ CD, EF ∥ BC, ∠BAC = 60° and ∠DHF = 50° . Find ∠GCH and ∠AGH.

Topic: Parallel Lines and Angle Relationships

∠GCH = 50º, ∠AGH = 90º

∠GCH = 60º, ∠AGH = 110º

∠GCH = 70º, ∠AGH = 120º

∠GCH = 30º, ∠AGH = 70º

None

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

Topic: Perpendiculars to a Line Segment

True

False

None

In the figure, show that ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 360° .

Topic: Angle Sum of Angles in a Quadrilateral

∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠F = 180°

∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠F = 360°

∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠F = 60°

∠ A + ∠ B + ∠ C + ∠ D + ∠ E + ∠F = 80°

None

If one angle of a triangle is greater than the sum of the other two, the triangle is obtuse angled then, what is the value of first angle?

Topic: Obtuse Angle Triangle

∠B > 90°

∠B > 110°

∠B > 60°

∠B > 30°

None

In △PQR, if ∠P − ∠Q = 42° and ∠Q − ∠R = 21° , find ∠P , ∠Q and ∠R.

Topic: Linear Equations in Triangle Angles

∠ P = 45°,∠ Q = 22° and ∠ R = 32°.

∠ P = 55°,∠ Q = 58° and ∠ R = 180°.

∠ P = 95°,∠ Q = 53° and ∠ R = 32°.

∠ P = 108°,∠ Q = 60° and ∠ R = 70°.

None

10.

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

Topic: Angle Sum Property of Triangle

x° = 55°

x° = 30°

x° = 70°

x° = 60°

None

11.

Two angles of a triangle are equal and the third angle is greater than each one of them by 18°. Find the angles.

Topic: Isosceles Triangle Properties

∠ A = 54°, ∠B = 54° and ∠ C = 72°

∠ A = 30°, ∠B = 108° and ∠ C = 90°

∠ A = 58°, ∠B = 67° and ∠ C = 55°

∠ A = 108°, ∠B = 60° and ∠ C = 70°

None

12.

If one angle of a triangle is equal to the sum of the other two, One of the angle of the triangle is.

Topic: Angle Sum Property of Triangle

90°

80°

60°

70°

None

13.

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

∠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

14.

If one angle of a triangle is less then the sum of the other two then, the triangle ABC is an ______________

Topic: Types of Triangles

right angle

acute angled

isosceles triangle

None of the above

None

15.

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

equilateral triangle

isosceles triangle

right triangle

acute triangle

None

16.

"If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent". Is the statement true?

Topic: Congruence Criteria

True

False

None

17.

If one angle of a triangle is equal to the sum of the other two, What is the value of the first angle?

Topic: Properties of Triangles

∠D = 80°

∠B = 60°

∠A = 90°

∠C = 120°

None

18.

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

∠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

19.

If one angle of a triangle is less then the sum of the other two, Choose the correct type of triangle ABC.

Topic: Types of Triangles

ABC is an acute angled triangle

ABC is an isosceles angled triangle

ABC is an obtuse angled triangle

ABC is an right angled triangle

None

20.

"If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent". Is the statement true?

Topic: Congruence Criteria

False

True

None of these

None

21.

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

Topic: Perpendiculars to a Line Segment

CD bisects AB

AB bisects CD

CD intersect AB

DO bisects BA

None

22.

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

Topic: Longest Side in a Triangle

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

23.

In △ABC, ∠A = 50° and ∠B = 60°. Determine the longest and the shortest sides of the triangle.

Topic: Comparing Sides in a Triangle

AB longest sides and BC shortest sides

BA longest sides and CA shortest sides

AC longest sides and BA shortest sides

CB longest sides and BA shortest sides

None

24.

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.

(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

25.

In △ABC,∠A = 90°. What is the longest side?

Topic: Angles in Right-Angled Triangle

AC is the longest side which is opposite to ∠B.

CB is the longest side which is opposite to ∠C.

BC is the longest side which is opposite to ∠A.

None of these

None

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Class 9 Practice – Level 2 – Set 1 – Triangles

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