This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Triangles > Class 10 Maths Chapter 6 Triangles – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 6 Triangles Quiz 5 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.The above is known as: A) SSS congruence of two triangles. B) SAS congruence of two triangles. C) ASA congruence of two triangles. D) None of these. Show Answer Correct Answer: B) SAS congruence of two triangles. 2. In a right angle triangle, the angles other than the right angle are A) Straight. B) Obtuse. C) Right angle. D) Acute. Show Answer Correct Answer: D) Acute. 3. ABC is an equilateral triangle of side a. Length of each of its altitudes is? A) $\frac{\sqrt{3}}{2}a^2$. B) $\frac{\sqrt{3}}{4}\\a^2$. C) $\frac{\sqrt{3}}{4}a$. D) $\frac{\sqrt{3}}{2}a$. Show Answer Correct Answer: D) $\frac{\sqrt{3}}{2}a$. 4. Which of the following triplets cannot be the angles of a triangle? A) 70$^\circ$, 83$^\circ$, 27$^\circ$. B) 90$^\circ$, 70$^\circ$, 20$^\circ$. C) 40$^\circ$, 132$^\circ$, 18$^\circ$. D) 67$^\circ$, 51$^\circ$, 62$^\circ$. Show Answer Correct Answer: C) 40$^\circ$, 132$^\circ$, 18$^\circ$. 5. Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have corresponding sides that are proportional. C) Similar figures always have the same size. D) Similar figures always have corresponding angles that are equal. Show Answer Correct Answer: C) Similar figures always have the same size. 6. Basic proportionality theorem is known as A) Pythagoras theorem. B) Area theorem. C) None of the above. D) Thale's theorem. Show Answer Correct Answer: D) Thale's theorem. 7. In shop class, you made a square table. If the diagonal of the table measures 42 inches, how big is the table on each side? A) 29.6984 ft. B) 59.3969 ft. C) 6.4807 ft. D) 36.3730 ft. Show Answer Correct Answer: A) 29.6984 ft. 8. Congruent triangles have the exact same size and shape. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 9. The height of an equilateral triangle of side 5 cm is: A) 3.9 cm. B) 5 cm. C) 4.33 cm. D) 4 cm. Show Answer Correct Answer: C) 4.33 cm. 10. The basketball court in the neighbor's driveway is 15 feet long and has an area of 165 feet$^{2 }$. What is the width of a basketball court? A) 11 feet. B) 180 feet. C) 10 feet. D) 15 feet. Show Answer Correct Answer: A) 11 feet. 11. Can the following 3 numbers be side measures of a triangle2, 15, 16 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 12. Which one of the following is not a criterion for congruence of two triangles? A) SAS. B) ASA. C) SSS. D) SSA. Show Answer Correct Answer: D) SSA. 13. In a ..... triangle one angle is exactly 90 degrees. A) 360 degrees. B) Obtuse. C) Right. D) Acute. Show Answer Correct Answer: C) Right. 14. D and E are the midpoints of side AB and AC of a triangle ABC, respectively and BC = 6 cm. If DE || BC, then the length (in cm) of DE is: A) 3. B) 2.5. C) 5. D) 6. Show Answer Correct Answer: A) 3. 15. What is the standard form of the number 1000 + 300 + 50 + 7 A) 13 507. B) 1305. C) 1357. D) 10 357. Show Answer Correct Answer: C) 1357. 16. Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent? A) Sometimes. B) Yes. C) No. D) N/A. Show Answer Correct Answer: C) No. 17. What is a 4 sided shape called? A) Square. B) Parallelogram. C) Quadrilateral. D) Rhombus. Show Answer Correct Answer: C) Quadrilateral. 18. The angles opposite to equal sides of a triangle are: A) Supplementary angles. B) Equal. C) Complementary angles. D) Unequal. Show Answer Correct Answer: B) Equal. 19. In an equilateral triangle measure of each angle is A) 90 degrees. B) 60 degrees. C) 25 degrees. D) 80 degrees. Show Answer Correct Answer: B) 60 degrees. 20. The sum of the lengths of any two sides of a triangle is ..... than the third side. A) Greater than. B) Less than. C) Equal to. D) None of the above. Show Answer Correct Answer: A) Greater than. 21. What are the three ways to classify triangles by their sides? A) Acute, right, isosceles. B) Scalene, obtuse, right. C) Equilateral, right, isosceles. D) Equilateral, isosceles, scalene. Show Answer Correct Answer: D) Equilateral, isosceles, scalene. 22. Classify the triangle whose sides are:4 cm, 4 cm and 7 cm. A) Scalene. B) Isosceles. C) Equilateral. D) Right. Show Answer Correct Answer: B) Isosceles. 23. Can the following 3 numbers be side measures of a triangle10, 18, 10 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 24. If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 then the length of each leg is A) 10. B) $5\sqrt{2}$. C) $10\sqrt{2}$. D) None. Show Answer Correct Answer: B) $5\sqrt{2}$. 25. Let ABC is a right angle triangle at B. If AB = 5 cm and BC = 12 cm then the length of AC is A) 5 cm. B) 13 cm. C) 12 cm. D) 10 cm. Show Answer Correct Answer: B) 13 cm. 26. True or False.A right, isosceles triangle has 1 right angle and 2 equal sides. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 27. Mason has drawn a triangle with sidesof length 5cm, 5cm and 8cm.What type of trianglehashe drawn? A) Isosceles. B) Scalene. C) Equilateral. D) Right. Show Answer Correct Answer: A) Isosceles. 28. Can the following 3 numbers be side measures of a triangle A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 29. Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is A) 9 m. B) 7 m. C) 8 m. D) 6 m. Show Answer Correct Answer: C) 8 m. 30. If ABC is an equilateral triangle, then each angle equals to: A) 90$^\circ$. B) 120$^\circ$. C) 180$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: D) 60$^\circ$. 31. A vertical stick 12 m long casts a shadow 8 m long on the ground.At the same time a tower casts the shadow 40m long on the ground. Determine the height of the tower. A) 65 m. B) 60 m. C) 45 m. D) 37 m. Show Answer Correct Answer: B) 60 m. 32. In a triangle, how many total degrees are there? A) 100%. B) 360 degrees. C) 180 degrees. D) It varies. Show Answer Correct Answer: C) 180 degrees. 33. If E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then: A) BF=AF. B) BF = CE. C) BF=AC. D) CE=AB. Show Answer Correct Answer: B) BF = CE. 34. An ..... triangle has three equal sides. A) Isosceles. B) Equilateral. C) Scalene. D) None of the above. Show Answer Correct Answer: B) Equilateral. 35. We "classify" triangles, what word is NOT a synonym for "classify" ? A) Scatter. B) Group. C) Categorize. D) Organize. Show Answer Correct Answer: A) Scatter. 36. Will this make 1 triangle? 2 triangles? or no triangles?A= 37$^\circ$, a=8, b=14 A) 1 Trianlge. B) 2 Triangles. C) No Triangles. D) None of the above. Show Answer Correct Answer: C) No Triangles. 37. A triangle can be constructed only when the sum of any two sides is: A) Greater than the third side. B) Less than the third side. C) Equal to the third side. D) None. Show Answer Correct Answer: A) Greater than the third side. 38. True or False.An acute triangle has 3 acute angles. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 39. The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is ..... A) 20 cm. B) 5.4 cm. C) 5.2 cm. D) 6cm. Show Answer Correct Answer: B) 5.4 cm. 40. What is the sum of exterior angles of a triangle? A) 180. B) 360. C) 760. D) 540. Show Answer Correct Answer: B) 360. 41. In the given triangle, PQR, angle QPR =90 degree, PQ= 24cm and QR = 26 cm and inTriangle PKR, angle PKR = 90$^\circ$and KR = 8 cm, the length of PK will be A) 4 cm. B) 3 cm. C) 5 cm. D) 6 cm. Show Answer Correct Answer: D) 6 cm. 42. What is the capital of Guyana? A) Buenos Aires. B) Quito. C) Georgetown. D) Kingston. Show Answer Correct Answer: C) Georgetown. 43. The gym normally charges $ 8 for each yoga class you attend. Shamika paid a one-time $ 75 membership fee at the gym. Now she only has to pay $ 2 for each yoga class she attends. Is her total cost proportional? Explain. A) Not proportional, because the rate of change is $ 2. B) Non Proportional, because there was an additional membership fee of $ 75. C) Proportional, because the rate of change is $ 2. D) Proportional, because her membership fee is $ 75. Show Answer Correct Answer: B) Non Proportional, because there was an additional membership fee of $ 75. 44. You need to place a 15-foot ladder so that it reaches the top of the house that is 12 feet tall. How far from the base of the house do you need to place the ladder? A) 81 ft. B) 9 ft. C) 15.4919 ft. D) 240 ft. Show Answer Correct Answer: B) 9 ft. 45. An isosceles triangle has ..... equal sides. A) One. B) Two. C) Four. D) Three. Show Answer Correct Answer: B) Two. 46. If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there? A) 50. B) 40. C) 30. D) 20. Show Answer Correct Answer: B) 40. 47. How do you find the area of a rectangle? A) Base x height. B) Length + width. C) Length x width. D) Length x height. Show Answer Correct Answer: C) Length x width. 48. How do you feel about this statement?I can understand, apply, and solve problems involving congruency on triangles. A) Yep, I got this. B) Am I even supposed to be in this class?. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yep, I got this. 49. An ..... angle of a triangle is equal to the sum of its interior opposite angles. A) Exterior angle. B) Interior angle. C) Adjacent angle. D) None of the above. Show Answer Correct Answer: A) Exterior angle. 50. The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is: A) 9 cm. B) 10 cm. C) 8 cm. D) 20 cm. Show Answer Correct Answer: B) 10 cm. 51. A triangle in which one angle is 120$^\circ$ is: A) Obtuse. B) Acute. C) Equilateral. D) Right. Show Answer Correct Answer: A) Obtuse. 52. In Figure, DE ||BC and given that AE= 1.8cm, CE = 5.4cm. The length of side BD = 7.2cm and AD will be A) 2.4 cm. B) 1.9 cm. C) 1.6 cm. D) 2.1cm. Show Answer Correct Answer: A) 2.4 cm. 53. A triangle in which all the 3 sides are equal is called a/an A) Scalene Triangle. B) Equilateral Triangle. C) Obtuse angles triangle. D) Acute-angled triangle. Show Answer Correct Answer: B) Equilateral Triangle. 54. A triangle with angles 30$^\circ$, 60$^\circ$, 90$^\circ$ is: A) Right-angled and scalene. B) Obtuse. C) Isosceles. D) Scalene only. Show Answer Correct Answer: A) Right-angled and scalene. 55. Which of the following side lengths form a triangle? A) 80, 20, 50. B) 6, 6, 14. C) 1, 2, 3. D) 5, 7, 8. Show Answer Correct Answer: D) 5, 7, 8. 56. A triangle has angle measurements of 26$^\circ$, 59$^\circ$, and 95$^\circ$. 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. 57. Which of the following are not similar figures? A) Squares. B) Isosceles triangles. C) Equilateral triangles. D) Circles. Show Answer Correct Answer: B) Isosceles triangles. 58. Bella has a window in her bedroom shaped like a triangle. Each angle of the triangle measures less than 90 degrees. What kind of triangle is her window? A) Obtuse. B) Right. C) Straight. D) Acute. Show Answer Correct Answer: D) Acute. 59. What is the sum of the measures of the angles of any triangle? A) 90$^\circ$. B) 180$^\circ$. C) 360$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: B) 180$^\circ$. 60. $\Delta$ $\Delta$ $\sim$ $\Delta$ $\Delta$ A) 15 cm. B) 30 cm. C) 22.5 cm. D) 7.5 cm. Show Answer Correct Answer: A) 15 cm. ← 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 4Class 10 Maths Chapter 6 Triangles Quiz 6 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books