Q 1. How many elements are there in a triangle?
(a) 3
(b) 6
(c) 4
(d) None of these.
Q 2. How many vertices does a triangle have?
(a) 1
(b) 2
(c) 3
(d) 4
Q 3. How many sides are there in a triangle?
(a) 1
(b) 2
(c) 3
(d) 4
Q 4. How many angles are there in a triangle?
(a) 1
(b) 2
(c) 3
(d) 4
Q 5. If two sides of a triangle are not equal, the triangle is called
(a) scalene
(b) isosceles
(c) equilateral
(d) right-angled
Q 6. If two sides of a triangle are equal, the triangle is called
(a) isosceles
(b) equilateral
(c) scalene
(d) right-angled
Q 7. If all the three sides of a triangle are equal, the triangle is called
(a) equilateral
(b) right-angled
(c) isosceles
(d) scalene
Q 8. If all the angles of a triangle are acute, the triangle is called
(a) obtuse-angled
(b) acute-angled
(c) right-angled
(d) none of these
Q 9. If one angle of a triangle measures 90°, the triangle is called
(a) acute-angled
(b) obtuse-angled
(c) right-angled
(d) none of these
Q 10. If one angle of a triangle is obtuse, the triangle is called
(a) acute-angled
(b) obtuse-angled
(c) right-angled
(d) none of these
Q 11. How many medians can a triangle have?
(a) 1
(b) 2
(c) 3
(d) 4
Q 12. How many altitudes can a triangle have?
(a) 1
(b) 2
(c) 3
(d) 4
Q 13. The total measure of the three angles of a triangle is
(a) 360°
(b) 90°
(c) 180°
(d) none of these
Q 14. The measure of each angle of an equilateral triangle is
(a) 30°
(b) 45°
(c) 90°
(d) 60°
Q 15. Which of the following statements is true?
(a) A triangle can have two right angles
(b) A triangle can have two obtuse angles
(c) A triangle can have two acute angles
(d) A triangle can have all three angles less than 60°
Q 16. Which of the following statements is true?
(a) A triangle can have all three angles equal to 60°.
(b) A triangle can have all three angles greater than 60°.
(c) The sum of any two angles of a triangle is always greater than the third angle.
(d) The difference between the lengths of any two sides of a triangle is greater than the length of the third Side(a) A
Q 17. Which of the following statement is false?
(a) The sum of the lengths of any two sides of a triangle is less than the third side.
(b) In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs.
(c) If the Pythagorean property holds, the triangle must be right-angled.
(d) The diagonal of a rectangle produces ‘by itself the same area as produced by its length and breadth
Q 18. Two angles of a triangle measure 90° and 30°. The measure of the third angle is
(a) 90°
(b) 30°
(c) 60°
(d) 120°
Q 19. The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest angle is
(a) 80°
(b) 60°
(c) 40°
(d) 180°
Q 20. In the following figure, the side BC of ∆ ABC is extended up to the point D. If ∠A = 55° and ∠B = 60°, then the measure of ∠ACD is
(a) 120°
(b) 110°
(c) 115°
(d) 125°
Q 21. In the following figure, the measure of ∠A is
(a) 30°
(b) 45°
(c) 90°
(d) 60°
Q 22. In the following figure, the measure of ∠A is
(a) 70°
(b) 90°
(c) 80°
(d) 100°
Q 23. In the following figure, m || QR. Then, the measure of ∠QPR is
(a) 80°
(b) 85°
(c) 75°
(d) 70°
Q 24. In the following figure, find ∠ x and ∠ y, if ∠x – ∠y = 10°
(a) 65°, 55°
(b) 55°, 45°
(c) 45°, 35°
(d) 60°, 60°
Q 25. In the following figure, find ∠ B.
(a) 30°
(b) 45°
(c) 40°
(d) 60°
Q 26. In the following figure, ∆ ABC is an equilateral triangle. Find ∠x.
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Q 27. In the following figure, one angle of triangle ABC is 40°. If the difference of the other two angles is 30°, find the larger of the other two angles.
(a) 85°
(b) 80°
(c) 75°
(d) 70°
Q 28. In the following figure, find x
(a) 60°
(b) 70°
(c) 80°
(d) 75°
Q 29. In the following figure, find x if BA || CE.
(a) 60°
(b) 40°
(c) 45°
(d) 65°
Q 30. Find the value of the unknown interior angle x in the following figure:
(a) 30°
(b) 35°
(c) 40°
(d) 45°
Q 31. Find the value of unknown x in the following figure:
(a) 40°
(b) 50°
(c) 45°
(d) 55°
Q 32. Find the value of unknown x in the following figure:
(a) 10°
(b) 15°
(c) 20°
(d) 25°
Q 33. Find angle x in the following figure:
(a) 90°
(b) 80°
(c) 95°
(d) 100°
Q 34. Find angle x in the following figure:
(a) 40°
(b) 50°
(c) 45°
(d) 60°
Q 35. Find angle x in the following figure:
(a) 40°
(b) 30°
(c) 25°
(d) 35°
Q 36. Find angle x in the following figure:
(a) 40°
(b) 45°
(c) 35°
(d) 50°
Q 37. Find angle x in the following figure:
(a) 58°
(b) 59°
(c) 57°
(d) 56°
Q 38. Find angle x in the following figure:
(a) 45°
(b) 40°
(c) 35°
(d) 50°
Q 39. In which case of the following lengths of sides of a triangle, is it possible to draw a triangle?
(а) 3 cm, 4 cm, 7 cm
(b) 2 cm, 3 cm, 7 cm
(c) 3 cm, 4 cm, 5 cm
(d) 3 cm, 3 cm, 7 cm
Q 40. Which of the following cannot be the sides of a right triangle?
(а) 2 cm, 2 cm, 4 cm
(b) 5 cm, 12 cm, 13 cm
(c) 6 cm, 8 cm, 10 cm
(d) 3 cm, 4 cm, 5 cm