The Triangle and its Properties MCQs with answers

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Q. How many elements are there in a triangle?
  • (A) 3
  • (B) 4
  • (C) 6
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) 6
Q. How many vertices does a triangle have?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3
Q. How many sides are there in a triangle?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3
Q. How many angles are there in a triangle?
  • (A) z1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3
Q. If two sides of a triangle are not equal, the triangle is called
  • (A) scalene
  • (B) isosceles
  • (C) equilateral
  • (D) right-angled
πŸ’¬ Discuss
βœ… Correct Answer: (A) scalene
Q. If two sides of a triangle are equal, the triangle is called
  • (A) isosceles
  • (B) equilateral
  • (C) scalene
  • (D) right-angled
πŸ’¬ Discuss
βœ… Correct Answer: (A) isosceles
Q. If all the three sides of a triangle are equal, the triangle is called
  • (A) right-angled
  • (B) equilateral
  • (C) scalene
  • (D) isosceles
πŸ’¬ Discuss
βœ… Correct Answer: (B) equilateral
Q. If all the angles of a triangle are acute, the triangle is called
  • (A) obtuse-angled
  • (B) right-angled
  • (C) acute-angled
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) acute-angled
Q. If one angle of a triangle measures 90Β°, the triangle is called
  • (A) acute-angled
  • (B) obtuse-angled
  • (C) right-angled
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) right-angled
Q. 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
πŸ’¬ Discuss
βœ… Correct Answer: (B) obtuse-angled
Q. How many medians can a triangle have?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3
Q. How many altitudes can a triangle have?
  • (A) 1
  • (B) 3
  • (C) 2
  • (D) 4
πŸ’¬ Discuss
βœ… Correct Answer: (B) 3
Q. The total measure of the three angles of a triangle is
  • (A) 360Β°
  • (B) 90Β°
  • (C) 180Β°
  • (D) none of these
πŸ’¬ Discuss
βœ… Correct Answer: (C) 180Β°
Q. The measure of each angle of an equilateral triangle is
  • (A) 30Β°
  • (B) 45Β°
  • (C) 90Β°
  • (D) 60Β°
πŸ’¬ Discuss
βœ… Correct Answer: (D) 60Β°
Q. 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 the three angles less than 60Β°
πŸ’¬ Discuss
βœ… Correct Answer: (C) A triangle can have two acute angles
Q. Which of the following statements is true?
  • (A) A triangle can have all the three angles equal to 60Β°
  • (B) A triangle can have all the three angles greater than 60Β°.
  • (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
πŸ’¬ Discuss
βœ… Correct Answer: (A) A triangle can have all the three angles equal to 60Β°
Q. 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 produce β€˜by itself the same area as produced by its length and breadth
πŸ’¬ Discuss
βœ… Correct Answer: (A) The sum of the lengths of any two sides of a triangle is less than the third side.
Q. Two angles of a triangle measure 90Β° and 30Β°. The measure of the third angle is
  • (A) 90Β°
  • (B) 30Β°
  • (C) 60Β°
  • (D) 120Β°
πŸ’¬ Discuss
βœ… Correct Answer: (C) 60Β°
Q. The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest angle is
  • (A) 80Β°
  • (B) 60Β°
  • (C) 40Β°
  • (D) 180Β°
πŸ’¬ Discuss
βœ… Correct Answer: (A) 80Β°
Q. In the following figure, the side BC of βˆ† ABC is extended up to the point D. If ∠ A = 55Β° and ∠ B = 60Β°, then the measure of ∠ACD is
  • (A) 120Β°
  • (B) 110Β°
  • (C) 115Β°
  • (D) 125Β°
πŸ’¬ Discuss
βœ… Correct Answer: (C) 115Β°
Q. In the following figure, the measure of ∠A is
  • (A) 30Β°
  • (B) 45Β°
  • (C) 90Β°
  • (D) 30Β°
πŸ’¬ Discuss
βœ… Correct Answer: (D) 30Β°
Q. In the following figure, the measure of ∠A is
  • (A) 70Β°
  • (B) 90Β°
  • (C) 80Β°
  • (D) 100Β°
πŸ’¬ Discuss
βœ… Correct Answer: (C) 80Β°
Q. In the following figure, m || QR. Then, the measure of ∠QPR is
  • (A) 80Β°
  • (B) 85Β°
  • (C) 75Β°
  • (D) 70Β°
πŸ’¬ Discuss
βœ… Correct Answer: (B) 85Β°
Q. In the following figure, find ∠ x and ∠ y, if ∠x – ∠y – 10Β°
  • (A) 65Β°, 55Β°
  • (B) 55Β°, 45Β°
  • (C) 45Β°, 35Β°
  • (D) 60Β°, 60Β°
πŸ’¬ Discuss
βœ… Correct Answer: (A) 65Β°, 55Β°
Q. In the following figure, find ∠ B.
  • (A) 30Β°
  • (B) 45Β°
  • (C) 40Β°
  • (D) 60Β°
πŸ’¬ Discuss
βœ… Correct Answer: (D) 60Β°
Q. In the following figure, βˆ† ABC is an equilateral triangle. Find ∠x.
  • (A) 30Β°
  • (B) 45Β°
  • (C) 60Β°
  • (D) 90Β°
πŸ’¬ Discuss
βœ… Correct Answer: (A) 30Β°
Q. In the following figure, one angle of triangle ABC is 40Β°. If the difference of the other two angles is 30Β°, find the larger of the other two angles.
  • (A) 85Β°
  • (B) 80Β°
  • (C) 75Β°
  • (D) 70Β°
πŸ’¬ Discuss
βœ… Correct Answer: (A) 85Β°
Q. In the following figure, find
  • (A) 60Β°
  • (B) 70Β°
  • (C) 80Β°
  • (D) 75Β°
πŸ’¬ Discuss
βœ… Correct Answer: (B) 70Β°
Q. In the following figure, find x if BA || CE.
  • (A) 60Β°
  • (B) 40Β°
  • (C) 45Β°
  • (D) 65Β°
πŸ’¬ Discuss
βœ… Correct Answer: (D) 65Β°
Q. Find the value of the unknown interior angle x in the following figure:
  • (A) 30Β°
  • (B) 35Β°
  • (C) 40Β°
  • (D) 45Β°
πŸ’¬ Discuss
βœ… Correct Answer: (C) 40Β°
Q. Find the value of unknown x in the following figure:
  • (A) 40Β°
  • (B) 50Β°
  • (C) 45Β°
  • (D) 55Β°
πŸ’¬ Discuss
βœ… Correct Answer: (B) 50Β°
Q. Find angle x in the following figure:
  • (A) 90Β°
  • (B) 80Β°
  • (C) 95Β°
  • (D) 100Β°
πŸ’¬ Discuss
βœ… Correct Answer: (A) 90Β°
Q. Find angle x in the following figure:
  • (A) 40Β°
  • (B) 50Β°
  • (C) 45Β°
  • (D) 60Β°
πŸ’¬ Discuss
βœ… Correct Answer: (B) 50Β°
Q. Find angle x in the following figure:
  • (A) 40Β°
  • (B) 30Β°
  • (C) 25Β°
  • (D) 35Β°
πŸ’¬ Discuss
βœ… Correct Answer: (B) 30Β°
Q. In which case of the following lengths of sides of a triangle, is it possible to draw a triangle?
  • (A) 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
πŸ’¬ Discuss
βœ… Correct Answer: (C) 3 cm, 4 cm, 5 cm
Q. Which of the following cannot be the sides of a right triangle?
  • (A) 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
πŸ’¬ Discuss
βœ… Correct Answer: (A) 2 cm, 2 cm, 4 cm

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Table of contents

  1. How many elements are there in a triangle?
  2. How many vertices does a triangle have?
  3. How many sides are there in a triangle?
  4. How many angles are there in a triangle?
  5. If two sides of a triangle are not equal, the triangle is called
  6. If two sides of a triangle are equal, the triangle is called
  7. If all the three sides of a triangle are equal, the triangle is called
  8. If all the angles of a triangle are acute, the triangle is called
  9. If one angle of a triangle measures 90Β°, the triangle is called
  10. If one angle of a triangle is obtuse, the triangle is called
  11. How many medians can a triangle have?
  12. How many altitudes can a triangle have?
  13. The total measure of the three angles of a triangle is
  14. The measure of each angle of an equilateral triangle is
  15. Which of the following statements is true?
  16. Which of the following statements is true?
  17. Which of the following statement is false?
  18. Two angles of a triangle measure 90Β° and 30Β°. The measure of the third angle is
  19. The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest
  20. In the following figure, the side BC of βˆ† ABC is extended up to the point D. If ∠ A = 55Β° and β
  21. In the following figure, the measure of ∠A is
  22. In the following figure, the measure of ∠A is
  23. In the following figure, m || QR. Then, the measure of ∠QPR is
  24. In the following figure, find ∠ x and ∠ y, if ∠x – ∠y – 10Β°
  25. In the following figure, find ∠ B.
  26. In the following figure, βˆ† ABC is an equilateral triangle. Find ∠x.
  27. In the following figure, one angle of triangle ABC is 40Β°. If the difference of the other two angle
  28. In the following figure, find
  29. In the following figure, find x if BA || CE.
  30. Find the value of the unknown interior angle x in the following figure:
  31. Find the value of unknown x in the following figure:
  32. Find angle x in the following figure:
  33. Find angle x in the following figure:
  34. Find angle x in the following figure:
  35. In which case of the following lengths of sides of a triangle, is it possible to draw a triangle?
  36. Which of the following cannot be the sides of a right triangle?

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