Chapter 7 – Triangles

Q1. If E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then:

Q2. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Then:

Q3. If ABC and DBC are two isosceles triangles on the same base BC. Then:

Q4. If ABC is an equilateral triangle, then each angle equals to:

Q5. If AD is an altitude of an isosceles triangle ABC in which AB = AC. Then:

Q6. In a right triangle, the longest side is:

Q7. In triangle ABC, if AB=BC and ∠B = 70, ∠A will be:

Q8. 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:

Q9. A triangle in which two sides are equal is called:

Q10. The angles opposite to equal sides of a triangle are:

Q11. In two triangles DEF and PQR, if DE = QR, EF = PR and FD = PQ, then

Q12. In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to:

Q13. Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be:

Q14. In ∆PQR, if ∠R > ∠Q, then

Q15. D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then

Q16. It is given that Δ ABC ≅ Δ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

Q17. All the medians of a triangle are equal in case of a:

Q18. In the given figure, PS is the median then ∠QPS?

Q19. In triangle PQR if ∠Q = 90°, then:

Q20. In the given figure, AB = AC and ∠B = 50° then; ∠A is:

Q21. In the given figure, if the exterior angle is 135o then ∠P is:

Q22. If in ΔPQR, PQ = PR then:

Q23. In a triangle ABC, ∠B = 35° and ∠C = 60°, then

Q24. In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are:

Q25. In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if:

26 △ABC = △PQR, then which of the following is true?

27 In △ABC and △DEF, AB = DE and ∠A = ∠D.Then two triangles will be congruent by SA axiom if:

28 In a right triangle, the longest side is:

29 In △ABC, if ∠A = 45° and ∠B = 70°, then the shortest and the longest sides of the triangle are respectively,

30 If the altitudes from vertices of a triangle to the opposite sides are equal, then the triangles is