This quiz works best with JavaScript enabled. Home > Cbse > Class 9 > Mathematics > Constructions > Class 9 Maths Chapter 11 Constructions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 11 Constructions Quiz 1 (53 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The circumcenter is located outside the triangle. A) Sometimes. B) Always. C) Never. D) None of the above. Show Answer Correct Answer: A) Sometimes. 2. The place where all three angle bisectors meet is called the ..... A) Incenter. B) Centroid. C) Orthocenter. D) CONCELENT. Show Answer Correct Answer: A) Incenter. 3. Determine which point of concurrency is most appropriate in each situation.Jim's backyard is a triangular plot of land. He is using fencing to build a circular dog pen. He wants the dog pen to be as large as possible and needs to determine the location of the center of the circular dog pen. A) Incenter. B) Centroid. C) Orthocenter. D) CONCELENT. Show Answer Correct Answer: A) Incenter. 4. In order to construct the inscribed circle of a triangle, you have to construct ..... (?) ..... A) The incenter. B) The centroid. C) The orthocenter. D) The circumcenter. Show Answer Correct Answer: A) The incenter. 5. Which point is equidistant from the sides? A) Neither. B) Bilateral. C) CONCELENT. D) Incenter. Show Answer Correct Answer: D) Incenter. 6. Which of these angles we cannot construct it using a ruler and compasses? A) 120$^\circ$. B) 60$^\circ$. C) 70$^\circ$. D) All can be constructed. Show Answer Correct Answer: C) 70$^\circ$. 7. The side lengths 4cm, 4cm and 4cm can be sides of: A) Scalene Triangle. B) Isosceles Triangle. C) Equilateral Triangle. D) None of these. Show Answer Correct Answer: C) Equilateral Triangle. 8. The CIRCUMCENTER is the intersection of which special segments? A) Angle Bisectors. B) Medians. C) Altitudes. D) Perpendicular Bisectors. Show Answer Correct Answer: D) Perpendicular Bisectors. 9. The point of concurrency of ANGLE BISECTORS is ..... A) Equidistant from the vertices. B) Outside the triangle. C) Called the circum center. D) Equidistant from the sides of the angle. Show Answer Correct Answer: D) Equidistant from the sides of the angle. 10. The three altitudes of a triangle intersect at the A) Orthocenter. B) CONCELENT. C) Incenter. D) Centroid. Show Answer Correct Answer: A) Orthocenter. 11. What is an Incenter? A) The point in where altitudes meet. B) The point in which perpendicular bisectors meet. C) The point in which medians meet. D) The point in which angle bisectors meet. Show Answer Correct Answer: D) The point in which angle bisectors meet. 12. In an acute triangle, the circumcenter is ..... A) Inside the triangle. B) Outside the triangle. C) The midpoint of the hypotenuse. D) None of the above. Show Answer Correct Answer: A) Inside the triangle. 13. The three angle bisectors of a triangle intersect at the A) Incenter. B) Centroid. C) CONCELENT. D) Orthocenter. Show Answer Correct Answer: A) Incenter. 14. The place where all three perpendicular bisectors meet is called the ..... A) Incenter. B) Orthocenter. C) Centroid. D) CONCELENT. Show Answer Correct Answer: D) CONCELENT. 15. What is the point of concurrency that bisects three angles of a triangle? A) Centroid. B) CONCELENT. C) Incenter. D) Orthocenter. Show Answer Correct Answer: C) Incenter. 16. The circumcenter of a triangle is equidistant from the ..... of the triangle. A) Center. B) Sides. C) Midsegment. D) Vertices. Show Answer Correct Answer: D) Vertices. 17. The incenter is ..... found inside a triangle. A) Sometimes. B) Always. C) Never. D) None of the above. Show Answer Correct Answer: B) Always. 18. To construct a bisector of a given angle, we need: A) A ruler. B) A compass. C) A protractor. D) Both ruler and compass. Show Answer Correct Answer: D) Both ruler and compass. 19. With the help of a ruler and a compass it is not possible to construct an angle of A) 37.5$^\circ$. B) 22.5$^\circ$. C) 40$^\circ$. D) 67.5$^\circ$. Show Answer Correct Answer: C) 40$^\circ$. 20. Which point of concurrency is always inside the triangle? A) Centroid and Circumcenter. B) Orthocenter and Incenter. C) Incenter and Centroid. D) Circumcenter and Incenter. Show Answer Correct Answer: C) Incenter and Centroid. 21. The bisector of an angle lies in its A) Exterior. B) On the arms of the angle. C) Interior. D) Anywhere in the plane. Show Answer Correct Answer: C) Interior. 22. For what kind of triangle is the circumcenter located on one of the sides of the triangle? A) Equilateral. B) Obtuse triangle. C) Right triangle. D) Acute triangle. Show Answer Correct Answer: C) Right triangle. 23. The circumcenter is the point at which all the ..... of a triangle meet. A) Medians. B) Angle bisectors. C) Perpendicular bisectors. D) Altitudes. Show Answer Correct Answer: C) Perpendicular bisectors. 24. The INCENTER is the intersection of which special segments? A) Altitudes. B) Perpendicular Bisectors. C) Medians. D) Angle Bisectors. Show Answer Correct Answer: D) Angle Bisectors. 25. An circumcenter is A) An intersection of altitudes. B) An intersection of perpendicular bisectors. C) An intersection of medians. D) An intersection of angle bisectors. Show Answer Correct Answer: B) An intersection of perpendicular bisectors. 26. Determine which point of concurrency is most appropriate in each situation.A flat, metal, triangular sculpture is to be hung in a campus cafeteria so that the triangular surface is parallel to the floor. The point from which the sculpture will balance was located by finding the ..... A) Incenter. B) Orthocenter. C) Centroid. D) CONCELENT. Show Answer Correct Answer: C) Centroid. 27. The place where all three altitudes meet is called the ..... A) Centroid. B) Incenter. C) CONCELENT. D) Orthocenter. Show Answer Correct Answer: D) Orthocenter. 28. When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the ..... A) Orthocenter. B) Incenter. C) Centroid. D) CONCELENT. Show Answer Correct Answer: D) CONCELENT. 29. What is the point of concurrency of the perpendicular bisectors of a triangle? A) Centroid. B) CONCELENT. C) Incenter. D) Orthocenter. Show Answer Correct Answer: B) CONCELENT. 30. The Incenter is equidistant to ..... A) The vertexes of the triangle. B) The sides of the triangle. C) All the above. D) None of the above. Show Answer Correct Answer: B) The sides of the triangle. 31. The circumcenter of a right triangle falls on the ..... A) Side. B) Vertex. C) Vertex. D) Hypotenuse. Show Answer Correct Answer: D) Hypotenuse. 32. Which point of concurrency is created by the 3 altitudes of a triangle? A) CONCELENT. B) Orthocenter. C) Centroid. D) Incenter. Show Answer Correct Answer: B) Orthocenter. 33. Which point of concurrency is the intersection of the angle bisectors of a triangle? A) Centroid. B) CONCELENT. C) Incenter. D) Orthocenter. Show Answer Correct Answer: C) Incenter. 34. What is the special property for circumcenters? A) The circumcenter is equally distant to the midpoint of the sides of the triangle. B) The circumcenter is equally distant to the vertices. C) All the above. D) None of the above. Show Answer Correct Answer: B) The circumcenter is equally distant to the vertices. 35. An orthocenter is A) An intersection of angle bisectors. B) An intersection of altitudes. C) An intersection of perpendicular bisectors. D) An intersection of medians. Show Answer Correct Answer: B) An intersection of altitudes. 36. To construct an angle of 60 degrees, we need to draw first: A) A ray. B) Two rays. C) An angle. D) An arc. Show Answer Correct Answer: A) A ray. 37. The incenter is the point at which all the ..... of a triangle meet. A) Perpendicular bisectors. B) Angle bisectors. C) Medians. D) Altitudes. Show Answer Correct Answer: B) Angle bisectors. 38. The point where the 3 perpendicular bisectors of a triangle cross is called the ..... ? A) CONCELENT. B) Incenter. C) Midsegment. D) Centroid. Show Answer Correct Answer: A) CONCELENT. 39. Which center points of a triangle are always inside the triangle? A) Centroid and Circumcenter. B) Orthocenter and Incenter. C) Incenter and Centroid. D) Circumcenter and Incenter. Show Answer Correct Answer: C) Incenter and Centroid. 40. It is equidistant from the three sides of the triangle. A) Orthocenter. B) Centroid. C) CONCELENT. D) Incenter. Show Answer Correct Answer: D) Incenter. 41. Which point is equidistant from the sides of a triangle? A) Angle bisector. B) Perpendicular bisector. C) CONCELENT. D) Incenter. Show Answer Correct Answer: D) Incenter. 42. Which of the following set of lengths can be the sides of a triangle? A) 5.5 cm, 6.5 cm, 8.9 cm. B) 2 cm, 4 cm, 1.9 cm. C) 1.6 cm, 3.7 cm. 5.3 cm. D) None of these. Show Answer Correct Answer: A) 5.5 cm, 6.5 cm, 8.9 cm. 43. Circumcenters are created by A) Angle Bisectors. B) Medians. C) Perpendicular Bisectors. D) Altitudes. Show Answer Correct Answer: C) Perpendicular Bisectors. 44. When you bisect a 120 degree angle, you will get ..... A) 60 degree angle. B) 240 degree angle. C) Two 240 degree angle. D) 30 degree angle. Show Answer Correct Answer: A) 60 degree angle. 45. A compass can be used to construct a full circle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 46. The perpendicular bisectors of a triangle are concurrent. Their common point is the ..... A) Centroid. B) Orthocenter. C) CONCELENT. D) Incenter. Show Answer Correct Answer: C) CONCELENT. 47. Which of the following angles can be constructed using a ruler and compasses? A) 95$^\circ$. B) 45$^\circ$. C) 55$^\circ$. D) 35$^\circ$. Show Answer Correct Answer: B) 45$^\circ$. 48. This center is the intersection of all ANGLE BISECTORS in a triangle. A) CONCELENT. B) Incenter. C) Orthocenter. D) Centroid. Show Answer Correct Answer: B) Incenter. 49. Which triangle center is created when three altitudes meet? A) Incenter. B) Orthocenter. C) CONCELENT. D) Centroid. Show Answer Correct Answer: B) Orthocenter. 50. The only two points of concurrency that can be outside of a triangle are ..... A) Orthocenter and circumcenter. B) Orthocenter and incenter. C) Centroid and incenter. D) Incenter and circumcenter. Show Answer Correct Answer: A) Orthocenter and circumcenter. 51. A point equally distant from the three sides of a triangle is the ..... A) Incenter. B) Centroid. C) Orthocenter. D) CONCELENT. Show Answer Correct Answer: A) Incenter. 52. Which point of concurrency is equidistant from every side? A) Incenter. B) Orthocenter. C) Centroid. D) CONCELENT. Show Answer Correct Answer: A) Incenter. 53. With the help of a ruler and a compass, it is possible to construct an angle of A) 37.5$^\circ$. B) 35$^\circ$. C) 47.5$^\circ$. D) 40$^\circ$. Show Answer Correct Answer: A) 37.5$^\circ$. Related QuizzesMathematics QuizzesClass 9 Quizzes 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books