This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Triangles > Class 10 Maths Chapter 6 Triangles – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 6 Triangles Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If all of the triangle side are different lengths, the triangle is an isosceles triangle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 2. In which week will his jogging time be 70 minutes per day? A) 8th week. B) 11th week. C) 16th week. D) 10th week. Show Answer Correct Answer: B) 11th week. 3. Which side lengths would NOT form a triangle? A) 7, 9, 11. B) 2, 5, 9. C) 5, 10, 12. D) 3, 4, 5. Show Answer Correct Answer: B) 2, 5, 9. 4. Two angles whose sum of angle measures equals 180 degrees A) Complementary Angles. B) Straight Angle. C) Obtuse Angle. D) Supplementary Angles. Show Answer Correct Answer: D) Supplementary Angles. 5. Which of the following is not a similarity criterion for two triangles? A) ASA. B) AAA. C) SAS. D) SSS. Show Answer Correct Answer: A) ASA. 6. What must you do to determine if side lengths can make a triangle? A) Add the two shorter sides, answer must me less than or equal to the third side. B) Subtract the largest side from any other side and the answer must be positive. C) Add the two shorter sides together, answer must be larger than the third side. D) Divide your largest side by one of the shorter sides, your answer has to be bigger than the remaining side. Show Answer Correct Answer: C) Add the two shorter sides together, answer must be larger than the third side. 7. Which of the following is a pair of congruent figures: A) A regular pentagon and a regular hexagon. B) A rhombus and a square. C) Two equilateral triangles of the same length of their sides. D) Two equilateral triangles having different length of their sides from each other. Show Answer Correct Answer: C) Two equilateral triangles of the same length of their sides. 8. An acute triangle has ..... angles that each measure less than 90$^\circ$. A) Three. B) Two. C) One. D) Four. Show Answer Correct Answer: A) Three. 9. Which of the following cannot be the sides of a triangle? A) 2 cm, 3 cm, 10 cm. B) 7 cm, 8 cm, 12 cm. C) 5 cm, 7 cm, 10 cm. D) 4 cm, 5 cm, 6 cm. Show Answer Correct Answer: A) 2 cm, 3 cm, 10 cm. 10. An obtuse triangle has (a) A) A. one obtuse angle. B) Three obtuse angles. C) One acute angle. D) None of the above. Show Answer Correct Answer: A) A. one obtuse angle. 11. Ashley has multiple sticks to build a triangle for a class project. Which three lengths can she pick to build a triangle? A) 11 cm, 25 cm, 15 cm. B) 10 cm, 22 cm, 4 cm. C) 13 cm, 6 cm, 6 cm. D) 12 cm, 5 cm, 17 cm. Show Answer Correct Answer: D) 12 cm, 5 cm, 17 cm. 12. It is given that $\Delta$ABC ~ $\Delta$PQR, with BC/QR = 1/4 then, ar($\Delta$PRQ)/ar(ABC) is equal to A) 16. B) 1/6. C) 1/16. D) 4. Show Answer Correct Answer: A) 16. 13. If one angle of a triangle is 60 degree and other two angles are in the ratio 1:2, then the largest angle is A) 90 degree. B) 80 degree. C) 70 degree. D) 60 degree. Show Answer Correct Answer: B) 80 degree. 14. The sum of lengths of any two sides of a triangle is greater than the length of third side. This property is called ..... A) Angle sum property of a triangle. B) Exterior angle property. C) Triangular inequality. D) All of above. Show Answer Correct Answer: C) Triangular inequality. 15. The mathematician who proposed basic proportionality theorem A) Euclid. B) Pythagoras. C) Thales. D) Aryabhatta. Show Answer Correct Answer: C) Thales. 16. If triangles ABC and DEF are similar and AB=4 cm, DE=6 cm, EF=9 cm and FD=12 cm, the perimeter of triangle is: A) 22 cm. B) 20 cm. C) 18 cm. D) 21 cm. Show Answer Correct Answer: C) 18 cm. 17. In a right triangle, the longest side is: A) Perpendicular. B) Hypotenuse. C) Base. D) None of the above. Show Answer Correct Answer: B) Hypotenuse. 18. Refer figWhat is the distance of point A from point G? A) AF/3. B) AF/2. C) 3/2 AF. D) 2/3 AF. Show Answer Correct Answer: D) 2/3 AF. 19. A triangle has ..... vertices. A) 5. B) 4. C) 3. D) 1. Show Answer Correct Answer: C) 3. 20. The altitude of an equilateral triangle of side 8 cm is ..... A) 4m. B) 2 $\sqrt{3}$. C) 4 $\sqrt{3}$. D) 2.5 cm. Show Answer Correct Answer: C) 4 $\sqrt{3}$. 21. In congruent triangles ABC and PQR, AB = 5cm, BC = 4cm, angle B = 30$^\circ$, PQ = 5cm, QR = 4cm and angle Q = 30$^\circ$. By which congruence rule, the triangles are congruent? A) SSS. B) ASA. C) SAS. D) None of these. Show Answer Correct Answer: C) SAS. 22. A triangle has angle measurements of 163$^\circ$, 2$^\circ$, and 15$^\circ$. What kind of triangle is it? A) Acute triangle. B) Right triangle. C) Obtuse triangle. D) None of the above. Show Answer Correct Answer: C) Obtuse triangle. 23. Charlottehasdrawnatrianglewithanglesof60$^\circ$, 60$^\circ$and60$^\circ$. Whattypeoftrianglehasshedrawn? A) Isosceles. B) Equilateral. C) Scalene. D) Right-angled. Show Answer Correct Answer: B) Equilateral. 24. If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ, then A) $\Delta$PQR ~ $\Delta$ABC. B) $\Delta$BCA ~ $\Delta$PQR. C) $\Delta$CBA ~ $\Delta$PQR. D) $\Delta$PQR ~ $\Delta$CAB. Show Answer Correct Answer: D) $\Delta$PQR ~ $\Delta$CAB. 25. In a right-angled triangle, the angles other than the right angle are. A) Right angle. B) Straight angle. C) Obtuse angle. D) Acute angle. Show Answer Correct Answer: D) Acute angle. 26. To find the area of a triangle, the base and height must form ..... lines. A) Parallel. B) Perfect. C) Pointed. D) Perpendicular. Show Answer Correct Answer: D) Perpendicular. 27. A median of a triangle joins a vertex to: A) Any vertex. B) Angle bisector. C) Midpoint of opposite side. D) Any point. Show Answer Correct Answer: C) Midpoint of opposite side. 28. Do the following lengths form a triangle3 inches4 inches5 inches A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 29. Which of the following can be sides of a triangle A) 11 Cm, 8 cm, 3 cm. B) 6 cm, 8 cm, 11 cm. C) 9 cm, 10 cm, 15 cm. D) 2 cm, 7 cm, 4 cm. Show Answer Correct Answer: C) 9 cm, 10 cm, 15 cm. 30. The length of the hypotenuse of a right-angle triangle whose measure of two sides are 12 cm and 0.35 m is A) 3.72 cm. B) 37 cm. C) 0.372 cm. D) 37 m. Show Answer Correct Answer: B) 37 cm. 31. An isosceles triangle has how many congruent sides? A) 1. B) 2. C) 3. D) None of the above. Show Answer Correct Answer: B) 2. 32. The measure of each angle of an acute triangle must be- A) Equal 90$^\circ$. B) More than 90$^\circ$. C) Less than 90$^\circ$. D) Total 360$^\circ$. Show Answer Correct Answer: C) Less than 90$^\circ$. 33. Two angles whose sum of angle measures equals 90 degrees A) Adjacent Angles. B) Supplementary Angles. C) Congruent Angles. D) Complementary Angles. Show Answer Correct Answer: D) Complementary Angles. 34. The length of hypotenuse of an isosceles right triangle whose one side is 4 $\sqrt{2}$ A) 12 $\sqrt{2}$. B) 8 $\sqrt{2}$. C) 12cm. D) 8cm. Show Answer Correct Answer: D) 8cm. 35. Charlottehasdrawnatrianglewithanglesof60$^\circ$, 60$^\circ$and60$^\circ$.Whattypeoftrianglehasshedrawn? A) Isosceles. B) Scalene. C) Right. D) Equilateral. Show Answer Correct Answer: D) Equilateral. 36. In the figure, PQ is parallel to MN. If KP/ PM = 4 /13 and KN = 20.4 cm then KQ will be A) 5.2 cm. B) 5.4 cm. C) 4.8 cm. D) 4.1 cm. Show Answer Correct Answer: C) 4.8 cm. 37. Do the following lengths form a triangle4 inches3 inches8 inches A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 38. The hypotenuse of a triangle is ..... A) Invisible. B) A myth. C) The side opposite the right angle in a right triangle. D) None of the above. Show Answer Correct Answer: C) The side opposite the right angle in a right triangle. 39. Which is NOT a shortcut to prove triangles congruent? A) SSS. B) SSA. C) SAA. D) SAS. Show Answer Correct Answer: B) SSA. 40. Determine if the 3 numbers can be measures of the sides of a triangle. 6, 14, 21 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 41. ABC is a right angled triangle right angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angles are 6 cm and 8 cm. Find he radius of the circle. A) 10 cm. B) 3 cm. C) 2 cm. D) 4 cm. Show Answer Correct Answer: C) 2 cm. 42. A triangle with all angles less than 90 degrees is called as A) Obtuse angled triangle. B) Acute angled triangle. C) All the above. D) None of the above. Show Answer Correct Answer: B) Acute angled triangle. 43. When labelling a triangle, what do you use for side lengths? A) Capital Letter. B) Emojis. C) Roman Numerals. D) Lower case letter. Show Answer Correct Answer: D) Lower case letter. 44. For a triangle to be obtuse, ..... angle(s) in the triangle have to be obtuse. A) 0. B) 2. C) 1. D) 3. Show Answer Correct Answer: C) 1. 45. The sum of all interior angles of a triangle is: A) 360$^\circ$. B) 90$^\circ$. C) 180$^\circ$. D) 270$^\circ$. Show Answer Correct Answer: C) 180$^\circ$. 46. A triangle with all equal sides and one 90 degree angle is what kind of triangle? A) Right scalene. B) Acute isosceles. C) Right equilateral. D) Acute equilateral. Show Answer Correct Answer: C) Right equilateral. 47. A triangle's angles add up to ..... A) 90 Degrees. B) 360 Degrees. C) OVER 9000 Degrees. D) 180 Degrees. Show Answer Correct Answer: D) 180 Degrees. 48. The triangle formed by AB=3cm, BC=4cm, AC=8cm is A) An isosceles triangle. B) An equilateral triangle. C) No triangle is formed. D) A scalene triangle. Show Answer Correct Answer: C) No triangle is formed. 49. Virginia and Susan are discussing properties of lines during math class. Which statement best describes intersecting lines? A) They cross each at one point. B) They always from obtuse angle. C) They never cross each other. D) They only form right angle. Show Answer Correct Answer: A) They cross each at one point. 50. The triangle sum theorem states that the sum of the interior angles of all triangles equals ..... A) 90*. B) 180*. C) 100*. D) 360*. Show Answer Correct Answer: B) 180*. 51. Which is the longest side of a right angle? A) Perpendicular. B) Hypotenuse. C) Base. D) None of the above. Show Answer Correct Answer: B) Hypotenuse. 52. If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it? A) Equilateral. B) Obtuse Isosceles. C) Obtuse Scalene. D) Acute Isosceles. Show Answer Correct Answer: A) Equilateral. 53. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 54. The centroid divides each median in the ratio: A) 1:1. B) 2:1. C) 1:2. D) 3:1. Show Answer Correct Answer: B) 2:1. 55. The circumcentre of a triangle is the point where: A) Angle bisectors meet. B) Altitudes meet. C) Perpendicular bisectors meet. D) Medians meet. Show Answer Correct Answer: C) Perpendicular bisectors meet. 56. Which of the following angle combinations can form a triangle? A) 90$^\circ$, 90$^\circ$, 10$^\circ$. B) 100$^\circ$, 80$^\circ$, 10$^\circ$. C) 0$^\circ$, 90$^\circ$, 90$^\circ$. D) 120$^\circ$, 60$^\circ$, 10$^\circ$. Show Answer Correct Answer: B) 100$^\circ$, 80$^\circ$, 10$^\circ$. 57. Can the following 3 numbers be side measures of a triangle8, 2, 8 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 58. Which set of side lengths will form a triangle? A) 3, 6, 12. B) 9, 9, 9. C) 13, 6, 7. D) 7, 7, 14. Show Answer Correct Answer: B) 9, 9, 9. 59. A median of a triangle divides it into ..... triangles of equal areas. A) 2. B) 1. C) 3. D) 4. Show Answer Correct Answer: A) 2. 60. All corresponding angles in congruent figures are congruent. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 6 Triangles Quiz 1Class 10 Maths Chapter 6 Triangles Quiz 2Class 10 Maths Chapter 6 Triangles Quiz 3Class 10 Maths Chapter 6 Triangles Quiz 5Class 10 Maths Chapter 6 Triangles Quiz 6 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books