Triangles Class 9 MCQs Questions with Answers

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

2. 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

3. 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.

4. 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:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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