This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Constructions > Class 10 Maths Chapter 11 Constructions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 11 Constructions Quiz 1 (27 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What does the word BISECT mean? A) It is a plane with two sets of wings. B) A shape that has three sides. C) To cut something into two congruent pieces or in half. D) To cut something into more than five pieces. Show Answer Correct Answer: C) To cut something into two congruent pieces or in half. 2. What do you call a flat surface that extends without end and has not thickness? A) Point. B) Line. C) Skew. D) Plane. Show Answer Correct Answer: D) Plane. 3. Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line? A) Corresponding Angles Theorem. B) Alternate Exterior Angles Theorem. C) Alternate Interior Angles Theorem. D) Consecutive Interior Angles Theorem. Show Answer Correct Answer: A) Corresponding Angles Theorem. 4. What is a geometric tool used to draw circles and parts of circles called arcs? A) Compass. B) Ruler. C) Protractor. D) Straight edge. Show Answer Correct Answer: A) Compass. 5. In the figure given below, PA and PB are tangents to the circle drawn from an external point P. CD is a third tangent touching the circle at Q. If PB = 12 cm and CQ = 3 cm, what is the length of PC? A) 1 cm. B) 10 cm. C) 9 cm. D) 13 cm. Show Answer Correct Answer: C) 9 cm. 6. To draw a pair of tangents to a circle which are inclined to each other at an angle of 35$^\circ$, it is required to draw tangents at the end-points of those two radii of the circle, the angle between which is ..... A) 135$^\circ$. B) 90$^\circ$. C) 145$^\circ$. D) 130$^\circ$. Show Answer Correct Answer: C) 145$^\circ$. 7. There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P? A) O and P are co-incident points. B) P is on the circle. C) P is inside the circle. D) P is outside the circle. Show Answer Correct Answer: B) P is on the circle. 8. By which theorem we can justify the division of line segment in a given ratio? A) Angle bisector theorem. B) Pythagoras theorem. C) Mid-Point theorem. D) Basic Proportionality theorem. Show Answer Correct Answer: D) Basic Proportionality theorem. 9. The length of tangent from a point A at a distance of 5 cm from the center of the circle is 4 cm. What will be the radius of circle? A) 1 cm. B) 2 cm. C) 3 cm. D) None of these. Show Answer Correct Answer: C) 3 cm. 10. What is a ruler with no markings on it? A) Ruler. B) Straight edge. C) Compass. D) Protractor. Show Answer Correct Answer: B) Straight edge. 11. When constructing a line parallel to a given line, you will be A) Constructing a perpendicular. B) Copying an angle. C) Bisecting a segment. D) Copying a segment. Show Answer Correct Answer: B) Copying an angle. 12. When a line segment is divided in the ratio 2:3, how many parts is it divided into? A) 2. B) 5. C) $\frac{2}{3}$. D) 3. Show Answer Correct Answer: B) 5. 13. A line with a single endpoint (or point of origin) that extends infinitely in one direction A) Line. B) Ray. C) Straight angle. D) Point. Show Answer Correct Answer: B) Ray. 14. To draw a pair of tangents to a circle which are inclined to each other at an angle of 60$^\circ$, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be ..... A) 135$^\circ$. B) 90$^\circ$. C) 120$^{0}$. D) 60$^\circ$. Show Answer Correct Answer: C) 120$^{0}$. 15. The tangent of a circle makes angle with radius at point of contact is ..... A) 60$^{0}$. B) 30$^{0}$. C) 90$^{0}$. D) None of these. Show Answer Correct Answer: C) 90$^{0}$. 16. To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be? A) Draw a second diameter to the circle. B) Construct a line tangent to the circle. C) Construct a perpendicular bisector. D) Set your compass the length of the radius. Show Answer Correct Answer: C) Construct a perpendicular bisector. 17. To inscribe a hexagon inside a circle, which length should you set your compass to? A) The radius. B) It depends on the size of the circle. C) The diameter. D) Half of the radius. Show Answer Correct Answer: A) The radius. 18. To construct an equilateral triangle, all you need is a compass and a straightedge. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 19. Perfectly flat surface that extends forever in all directions. A) Square. B) Plane. C) Point. D) Line. Show Answer Correct Answer: B) Plane. 20. An angle that measures exactly 90$^\circ$ A) Straight Angle. B) Right Angle. C) Triangle. D) Acute Angle. Show Answer Correct Answer: B) Right Angle. 21. To divide a line segment, the ratio of division must be ..... A) Negative and Rational. B) Greater than 1. C) Less than 1. D) Positive and Rational. Show Answer Correct Answer: D) Positive and Rational. 22. Which of the following is not true for a point P on the circle? A) Only 1 tangent can be drawn from point P. B) There are 2 tangents to the circle from point P. C) Perpendicular to the tangent passes through the center. D) None of these. Show Answer Correct Answer: B) There are 2 tangents to the circle from point P. 23. A straight figure having no thickness and extending infinitely in both directions A) Line. B) Straight angle. C) Point. D) Ray. Show Answer Correct Answer: A) Line. 24. A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of ..... from the center. A) 3.5 cm. B) 3 cm. C) 5 cm. D) 2 cm. Show Answer Correct Answer: C) 5 cm. 25. What do we call a part of a line containing two endpoints and all the points between? A) A line segment. B) A ray. C) A line. D) A plane. Show Answer Correct Answer: A) A line segment. 26. The basic principle used in dividing a line segment is ..... A) Tangent to a circle. B) Congruency of triangles. C) Similarity of triangles. D) None of these. Show Answer Correct Answer: C) Similarity of triangles. 27. Equilateral means all ..... are congruent. A) Sides. B) Angles. C) All the above. D) None of the above. Show Answer Correct Answer: A) Sides. Related QuizzesMathematics QuizzesClass 10 Quizzes 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books