MCQs on Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

# MCQs on Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

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## MCQs on Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

1. Which of the following is not a basic concept of Euclidean Geometry?

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A) Point
B) Line
C) Plane
D) Vector
Solution: D) Vector

Also Check: Chapter 1 Number System MCQs

2. A point that lies on a line is called:

A) Collinear
B) Coplanar
C) Concurrent
D) None of these
Solution: A) Collinear

3. How many postulates did Euclid propose in his geometry?

A) 3
B) 4
C) 5
D) 6
Solution: C) 5

Also Check: Chapter 2 Polynomials MCQs

4. Which postulate states that a straight line segment can be drawn joining any two points?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: A) Postulate 1

5. Which of the following is not a part of a line segment?

A) Endpoints
B) Length
C) Area
D) Midpoint
Solution: C) Area

6. How many dimensions does a point have?

A) 0
B) 1
C) 2
D) 3
Solution: A) 0

7. Which of the following is a postulate of Euclidean Geometry?

A) The angles of a triangle sum up to 180°.
B) A line contains at least two points.
C) A straight line can be extended indefinitely.
D) All of the above
Solution: D) All of the above

Also Check: Chapter 3 Coordinate Geometry MCQs

8. If two lines intersect at a point, they are called:

A) Parallel
B) Perpendicular
C) Concurrent
D) Collinear
Solution: C) Concurrent

9. A part of a line with two endpoints is called a:

A) Point
B) Plane
C) Line segment
D) Ray
Solution: C) Line segment

10. Which of the following is not a Euclidean construction tool?

A) Compass
B) Ruler
C) Protractor
D) Divider
Solution: C) Protractor

11. How many angles does a triangle have?

A) 1
B) 2
C) 3
D) 4
Solution: C) 3

12. Which postulate states that a circle can be drawn with any given radius and center?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: B) Postulate 2

13. Two intersecting lines form how many pairs of adjacent angles?

A) 1
B) 2
C) 3
D) 4
Solution: B) 2

14. Which of the following is a basic concept of geometry?

A) Point
B) Angle
C) Circle
D) All of the above
Solution: D) All of the above

15. If two lines do not intersect, they are called:

A) Parallel
B) Perpendicular
C) Concurrent
D) Collinear
Solution: A) Parallel

16. Which postulate states that a line segment can be produced indefinitely?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: C) Postulate 3

17. An angle with a measure less than 90° is called:

A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Solution: A) Acute angle

18. Which of the following is a non-Euclidean geometry?

A) Spherical geometry
B) Hyperbolic geometry
C) Elliptic geometry
D) All of the above
Solution: D) All of the above

19. Which postulate states that a circle can have only one center?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: B) Postulate 2

20. The sum of all angles around a point is:

A) 90°
B) 180°
C) 270°
D) 360°
Solution: D) 360°

21. Which of the following is a valid construction in Euclidean Geometry?

A) Constructing an equilateral triangle with sides of different lengths
B) Dividing an angle into four equal parts
C) Constructing a square with two sides of equal length
D) All of the above
Solution: B) Dividing an angle into four equal parts

22. An angle with a measure of 90° is called:

A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Solution: C) Right angle

23. How many endpoints does a ray have?

A) 0
B) 1
C) 2
D) 3
Solution: B) 1

24. Which postulate states that two intersecting lines form vertical angles?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: C) Postulate 3

25. Which of the following is a line that intersects two or more lines at distinct points?

A) Parallel lines
B) Perpendicular lines
C) Transversal
D) Skew lines
Solution: C) Transversal

26. A polygon with 10 sides is called:

A) Octagon
B) Nonagon
C) Decagon
D) Dodecagon
Solution: C) Decagon

27. Which postulate states that a unique line can be drawn through any two distinct points?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: A) Postulate 1

28. How many parallel lines can be drawn to a given line through a point not on the line?

A) 0
B) 1
C) 2
D) Infinite
Solution: D) Infinite

29. Which of the following is a part of a circle?

A) Arc
B) Chord
D) All of the above
Solution: D) All of the above

30. Which postulate states that if two lines intersect, they do so at exactly one point?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: D) Postulate 4

31. An angle with a measure greater than 90° but less than 180° is called:

A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Solution: B) Obtuse angle

32. Which of the following is a line that lies in the same plane as two other lines but does not intersect them?

A) Parallel lines
B) Perpendicular lines
C) Transversal
D) Skew lines
Solution: A) Parallel lines

33. Which postulate states that if a line intersects two lines so that the sum of the interior angles on the same side is less than 180°, then the two lines will meet on that side?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: C) Postulate 3

34. An angle with a measure of 180° is called:

A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Solution: D) Straight angle

35. Which of the following is not a part of a circle?

A) Diameter
B) Circumference
C) Area
D) Vertex
Solution: D) Vertex

36. Which postulate states that if a point lies on a line segment, then it is also on the line containing the segment?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: B) Postulate 2

37. An angle with a measure of 360° is called:

A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Solution: D) Straight angle

38. Which postulate states that two distinct lines cannot have more than one point in common?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: A) Postulate 1

39. A closed figure made up of line segments is called a:

A) Point
B) Line
C) Polygon
D) Ray
Solution: C) Polygon

40. Which postulate states that if two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines will intersect each other on that side if extended far enough?

A) Postulate 1
B) Postulate 2
C) Postulate 3
D) Postulate 4
Solution: D) Postulate 4

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