Get ready to test yourself in Class 9 Maths Chapter 8 – Quadrilaterals. You’ll solve multiple-choice questions that push you to think carefully, and attempt fill-in-the-blanks that check your memory of facts and definitions. With answers included, this is your perfect revision toolkit.
Class 9th Maths Important MCQs with Answers from Chapter 8 – Quadrilaterals
Question 1. A quadrilateral has how many sides, angles, and vertices?
a) 3, 3, 3
b) 4, 4, 4
c) 5, 5, 5
d) 6, 6, 6
Answer:
b) 4, 4, 4 – By definition, a quadrilateral has four sides, angles, and vertices.
Question 2. A parallelogram is a quadrilateral in which ___.
a) Only one pair of sides are parallel
b) Both pairs of opposite sides are parallel
c) All sides are equal
d) All angles are right angles
Answer:
b) Both pairs of opposite sides are parallel.
Question 3. A diagonal of a parallelogram divides it into two ___.
a) Isosceles triangles
b) Congruent triangles
c) Right triangles
d) Equilateral triangles
Answer:
b) Congruent triangles – Theorem 8.1.
Question 4. In a parallelogram, opposite sides are always ___.
a) Parallel and equal
b) Perpendicular
c) Unequal
d) Reflex
Answer:
a) Parallel and equal – Theorem 8.2.
Question 5. If in a quadrilateral both pairs of opposite sides are equal, then it is a ___.
a) Trapezium
b) Parallelogram
c) Kite
d) Rhombus
Answer:
b) Parallelogram – Converse of Theorem 8.2.
Question 6. In a parallelogram, opposite angles are ___.
a) Always complementary
b) Always equal
c) Always supplementary
d) Never equal
Answer:
b) Always equal – Theorem 8.4.
Question 7. If in a quadrilateral, each pair of opposite angles are equal, then it is a ___.
a) Trapezium
b) Parallelogram
c) Rhombus
d) Rectangle
Answer:
b) Parallelogram – Theorem 8.5.
Question 8. The diagonals of a parallelogram ___ each other.
a) Bisect
b) Perpendicular
c) Unequal
d) None
Answer:
a) Bisect – Theorem 8.6.
Question 9. If the diagonals of a quadrilateral bisect each other, then it is a ___.
a) Kite
b) Parallelogram
c) Trapezium
d) Square
Answer:
b) Parallelogram – Converse of Theorem 8.6.
Question 10. In a rectangle, each angle is equal to ___.
a) 45°
b) 60°
c) 90°
d) 120°
Answer:
c) 90° – By definition of rectangle.
Question 11. The diagonals of a rectangle are equal and ___ each other.
a) Parallel
b) Perpendicular
c) Bisect
d) Do not bisect
Answer:
c) Bisect.
Question 12. The diagonals of a rhombus are ___.
a) Equal
b) Unequal but bisect at right angles
c) Perpendicular but do not bisect
d) None
Answer:
b) Unequal but bisect at right angles.
Question 13. A square has diagonals that are ___ and ___.
a) Equal, perpendicular
b) Unequal, bisecting
c) Unequal, parallel
d) Equal, parallel
Answer:
a) Equal, perpendicular.
Question 14. A trapezium is a quadrilateral with ___.
a) Two equal sides
b) Only one pair of parallel sides
c) Both pairs of parallel sides
d) No parallel sides
Answer:
b) Only one pair of parallel sides.
Question 15. If diagonals of a parallelogram are equal, then it is a ___.
a) Rhombus
b) Square
c) Rectangle
d) Kite
Answer:
c) Rectangle.
Question 16. If diagonals of a quadrilateral bisect each other at right angles, the quadrilateral is a ___.
a) Trapezium
b) Rhombus
c) Rectangle
d) Kite
Answer:
b) Rhombus.
Question 17. A parallelogram with all sides equal is called a ___.
a) Rectangle
b) Square
c) Rhombus
d) Trapezium
Answer:
c) Rhombus.
Question 18. A parallelogram with all sides equal and all angles equal is a ___.
a) Rectangle
b) Square
c) Rhombus
d) Kite
Answer:
b) Square.
Question 19. In a parallelogram, each pair of adjacent angles are ___.
a) Equal
b) Supplementary
c) Complementary
d) Reflex
Answer:
b) Supplementary.
Question 20. The line segment joining the mid-points of two sides of a triangle is ___ to the third side.
a) Perpendicular
b) Equal
c) Parallel
d) Unequal
Answer:
c) Parallel – Mid-point Theorem.
Question 21. The line segment joining mid-points of two sides of a triangle is equal to ___ of the third side.
a) Half
b) One-third
c) Double
d) Equal
Answer:
a) Half.
Question 22. If a line is drawn through the mid-point of one side of a triangle parallel to another side, it ___ the third side.
a) Trisects
b) Bisects
c) Does not intersect
d) Makes perpendicular
Answer:
b) Bisects – Converse of Mid-point Theorem.
Question 23. Diagonals of a square are equal and ___ each other at right angles.
a) Bisect
b) Do not bisect
c) Parallel
d) None
Answer:
a) Bisect.
Question 24. A quadrilateral in which diagonals bisect each other and are equal is a ___.
a) Rectangle
b) Rhombus
c) Square
d) Kite
Answer:
a) Rectangle.
Question 25. A quadrilateral in which diagonals bisect each other, are equal, and perpendicular is a ___.
a) Rectangle
b) Rhombus
c) Square
d) Kite
Answer:
c) Square.
Question 26. In a parallelogram, if one angle is 60°, the adjacent angle is ___.
a) 60°
b) 90°
c) 120°
d) 150°
Answer:
c) 120° – Adjacent angles are supplementary.
Question 27. The diagonals of a kite are ___.
a) Equal
b) Perpendicular
c) Parallel
d) Unequal but equal in halves
Answer:
b) Perpendicular.
Question 28. In a rhombus, all sides are equal but angles are not necessarily ___.
a) Right angles
b) Equal
c) Acute
d) Obtuse
Answer:
a) Right angles.
Question 29. If in a quadrilateral each diagonal bisects the opposite angles, then it is a ___.
a) Trapezium
b) Square
c) Rhombus
d) Kite
Answer:
c) Rhombus.
Question 30. A rectangle is a parallelogram in which all ___ are equal.
a) Angles
b) Sides
c) Diagonals
d) None
Answer:
a) Angles – All angles are 90°.
Question 31. In a quadrilateral, the sum of all interior angles is always ___.
a) 180°
b) 270°
c) 360°
d) 540°
Answer:
c) 360°.
Question 32. A parallelogram with diagonals equal but not perpendicular is a ___.
a) Square
b) Rectangle
c) Rhombus
d) Kite
Answer:
b) Rectangle.
Question 33. A parallelogram with diagonals unequal but perpendicular is a ___.
a) Rectangle
b) Square
c) Rhombus
d) Kite
Answer:
c) Rhombus.
Question 34. A quadrilateral with only one pair of parallel sides is called a ___.
a) Rhombus
b) Kite
c) Trapezium
d) Rectangle
Answer:
c) Trapezium.
Question 35. The diagonals of a parallelogram divide it into ___ congruent triangles.
a) Two
b) Three
c) Four
d) None
Answer:
a) Two.
Fill in the blanks on Triangles for Class 9 Maths
1. A quadrilateral is a polygon with ___ sides.
Answer:
4
2. The sum of the interior angles of a quadrilateral is always ___.
Answer:
360°
3. In a parallelogram, opposite sides are ___ and ___.
Answer:
equal, parallel
4. In a parallelogram, opposite angles are always ___.
Answer:
equal
5. The diagonals of a parallelogram ___ each other.
Answer:
bisect
6. A quadrilateral in which both pairs of opposite sides are parallel is called a ___.
Answer:
parallelogram
7. If in a quadrilateral, both pairs of opposite sides are equal, then the quadrilateral is a ___.
Answer:
parallelogram
8. If each pair of opposite angles of a quadrilateral are equal, then it is a ___.
Answer:
parallelogram
9. The diagonals of a rectangle are equal and ___ each other.
Answer:
bisect
10. The diagonals of a rhombus are perpendicular and ___ each other.
Answer:
bisect
11. In a rhombus, all four sides are ___.
Answer:
equal
12. A square has all sides equal and all angles equal to ___.
Answer:
90°
13. In a square, the diagonals are equal and ___ to each other.
Answer:
perpendicular
14. A quadrilateral with only one pair of parallel sides is called a ___.
Answer:
trapezium
15. In a parallelogram, adjacent angles are always ___.
Answer:
supplementary
16. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a ___.
Answer:
parallelogram
17. If diagonals of a parallelogram are equal, then it is a ___.
Answer:
rectangle
18. If diagonals of a parallelogram are perpendicular, then it is a ___.
Answer:
rhombus
19. If diagonals of a quadrilateral bisect each other at right angles and are equal, then the quadrilateral is a ___.
Answer:
square
20. The line segment joining the mid-points of two sides of a triangle is ___ to the third side.
Answer:
parallel
21. The line segment joining the mid-points of two sides of a triangle is equal to ___ of the third side.
Answer:
half
22. If a line through the mid-point of one side of a triangle is parallel to another side, it ___ the third side.
Answer:
bisects
23. In a rectangle, each diagonal divides it into two ___ triangles.
Answer:
congruent
24. The diagonals of a kite are always ___ to each other.
Answer:
perpendicular
25. A parallelogram with all sides equal and all angles equal is a ___.
Answer:
square
