Class 9 Mathematics – Chapter 7: Triangles (MCQ Mock Test)

Test Your Understanding of Triangles with Our Comprehensive MCQ Mock Test!

Can you prove triangles congruent or recall different criteria like SSS, SAS, ASA, and RHS? Challenge yourself with this MCQ-based mock test on Triangles, crafted as per the latest Class 9 Maths syllabus. This test covers all the key concepts — congruence of triangles, inequalities in triangles, and properties related to sides and angles.

Each question is thoughtfully designed to help you strengthen your geometric reasoning, apply theorems effectively, and enhance your problem-solving accuracy. Ideal for school exams, board preparation, and concept revision — this test gives you a complete practice experience.

Attempt now and make Triangles one of your most confident and scoring chapters in Geometry!

1. ∠x and ∠y are exterior angles of a ΔABC, at the points B and C respectively. Also ∠B > ∠C, then relation between ∠x and ∠y is

 
 
 
 

2. In a quadrilateral ABCD, AB = 2 cm, BC = 3 cm, CD = 5 cm and AD = 4 cm, then relation between ∠B and ∠D is

 
 
 
 

3. In ΔPQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

 
 
 
 

4. 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

 
 
 
 

5. In ΔPQR, ∠P = 70°, ∠R = 30°, then

 
 
 
 

6. ABC is an isosceles triangle with AB = AC. Altitudes are drawn to the sides AB and AC from vertices C and B respectively. One altitude CF is found to be 4 cm. If BC = 5 cm. Find EC,

where BE is altitude to side AC.

 
 
 
 

7. It is given that DABC ≅ DFDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

 
 
 
 

8. In the given figure, write the correspondence, if congruent.

 
 
 
 

9. For the given triangles, write the correspondence, if congruent.

 
 
 
 

10. Assertion (A): If we draw two triangles with angles 30° 70°, and 80° and the length of the sides of one triangle be different than that of the corresponding sides of the other triangle then two triangles are not congruent.
Reason (R): If two triangles are constructed which have all corresponding angles equal but have unequal corresponding sides, then two triangles cannot be congruent to each other.

 
 
 
 

11. Given ΔABC ≅ ΔPQR and ΔABC @ ΔRPQ, then

 
 
 
 

12. Assertion (A): ΔABC and ΔDBC are two isosceles triangles on the same base BC. Then, ∠ABD = ∠ACD.

Reason (R): The angles opposite to equal sides of a triangle are equal.

 
 
 
 

13. In the given figure, x and y are

 
 
 
 

14. Assertion (A): In ΔABC, ∠B = 70° and in DPQR, ∠P = 70° so ∠B = ∠P.
Reason (R): All right angles are equal

 
 
 
 

15. In the given figure, the congruency rule used in proving ΔACB ≅ ΔADB is

 
 
 
 

16. In a triangle PQR, if ∠QPR = 100° and PQ = PR, then ∠R and ∠Q respectively are

 
 
 
 

17. Choose the correct statement from the following:

 
 
 
 

18. In two triangles ABC and DEF, AB = DE, BC = DF and AC = EF, then

 
 
 
 

19. In DPQR, if ∠R > ∠Q, then

 
 
 
 

20. Given two right-angled triangles ABC and PRQ, such that ∠A = 30°, ∠Q = 30° and AC = QP. Write the correspondence if triangles are congruent.

 
 
 
 

21. Assertion (A): It is always possible to draw a triangle whose sides measure 3 cm, 4 cm and 9 cm respectively.
Reason (R): In an isosceles ΔABC with AB = AC, if BD and CE are bisectors of ∠B and ∠C respectively, then BD = CE.

 
 
 
 

22. If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.

 
 

23. Assertion (A): The sides opposite to equal angles of a triangle are not equal.
Reason (R): Angle opposite to equal sides of a triangle are equal.

 
 
 
 

24. Assertion (A): If the bisector of the vertical angle of a triangle bisects the base of the triangle, then the triangle is equilateral.
Reason (R): If three sides of one triangle are equal to three of the other triangle, then the two triangles are congruent.

 
 
 
 

25. In the given figure, AD is the median, then ∠BAD is

 
 
 
 

26. Are the given triangles congruent ?

 
 

27. In two triangles, ABC and PQR, ∠A = 30°, ∠B = 70°, ∠P = 70°, ∠Q = 80° and AB = RP, then

 
 
 
 

28. In the given figures, AD and PE are the medians. Then value of PR is

 
 
 
 

29. In the given figure, mark the relation between AB and AD

 
 
 
 

30. In the given figure, the measure of ∠ABC is

 
 
 
 

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