Triangles Class 9 MCQs Questions with Answers

1. In given figure, the measure of ∠BAC is

2. In ΔABC, ∠C = ∠A and BC = 4 cm and AC = 5 cm, then find length of AB.

3. In figure AB ⊥ AE, BC ⊥ AB, CE = DE and ∠AED = 120°, then find ∠ECD.

4. In figure AB ⊥ BE and EF ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to

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

6. If ABC and DBC are two isosceles triangles on the same base BC. Then:

7. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB, respectively. Then:

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

9. It is given that ΔABC = ΔFDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

10. D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then

11. In figure if AE || DC and AB = AC, find the value of ∠ABD.

12. In figure X is a point in the interior of square ABCD, AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then find BY.

13. In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

14. In a right triangle, the longest side is:

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

16. In ΔABC, AB = AC and ∠B = 50°, then find ∠C.

17. The angles opposite to equal sides of a triangle are:

18. 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

19. A triangle in which two sides are equal is called:

20. For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is: