Quadrilaterals MCQs Quiz Multiple Choice Questions & Answers

1. A polygon formed with four sides equal is a

1. trapezium
2. triangle
3. rhombus
4. none of these.

2. A quadrilateral having each angle equal to 90^o is called

1. Parallelogram
2. Rectangle
3. Trapezium
4. Rhombus

3. A quadrilateral is formed by............line segments.

1. 6
2. 4
3. 5
4. none of these.

4. A quadrilateral shaped photo frame has all sides equal. Which of the following is not a possible shape for the photo frame ?

1. trapezium
2. rhombus
3. square
4. none of these.

5. A................is a rhombus.

1. square
2. rectangle
3. trapezium
4. none of these.

6. ABCD is a rhombus such that Angle ACB = 40^o, then Angle ADB is

1. 40^o
2. 45^o
3. 50^o
4. 60^o

7. All rectangles, squares and rhombus are..............but a trapezium is not.

1. circles
2. quadrilaterals
3. parallelogram
4. none of these.

8. All the sides of the rhombus are

1. different
2. curved
3. equal
4. none of these.

9. Diagonal of a parallelogram divides the parallelogram into triangles.

1. two equal
2. two different
3. three different
4. three equal

10. Diagonals of a parallelogram....................each other at a point

1. perpendicular to
2. intersect
3. equal to
4. parallel to

11. For which polygon does the sum of the measures of the interior angles equal the sum of the measures of the exterior angles?

1. hexagon
2. pentagon
3. quadrilateral
4. triangle

12. Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals?

1. the rhombus, only
2. the rectangle and the square
3. the rhombus and the square
4. the rectangle, the rhombus, and the square

13. A diagonal of a rectangle is inclined to one side of the rectangle at 25^o. The acute angle between the diagonals is

1. 55^o
2. 50^o
3. 40^o
4. 25^o

14. If angles A, B,C and D of the quadrilateral ABCD, taken in order are in the ratio 3:7:6:4, then ABCD is a

1. rhombus
2. parallelogram
3. trapezium
4. kite

15. If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form

1. a square
2. a rhombus
3. a rectangle
4. any other parallelogram

16. If the diagonals of a quadrilateral are perpendicular and opposite sides are NOT parallel then what would be the best and most restrictive description of that quadrilateral?

1. Trapezoid
2. Rhombus
3. Kite
4. Rectangle

17. In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. AF and CE meet the diagonal BD of length 12cm at P and Q, then length of PQ is

1. 6cm
2. 4 cm
3. 3 cm
4. 5 cm

18. In a parallelogram opposite angles are

1. parallel
2. congruent
3. complementary
4. adjacent

19. In a parallelogram opposite sides are

1. different
2. perpendicular
3. congruent
4. intersecting

20. Opposite angles are not equal in a

1. square
2. rectangle
3. trapezium
4. none of these.

21. Sometimes a................can be a square.

1. rhombus
2. rectangle
3. trapezium
4. none of these.

22. The diagonals are perpendicular in a

1. rectangle
2. trapezium
3. parallelogram
4. rhombus.

23. The diagonals of a quadrilateral are congruent but do not bisect each other. This quadrilateral is

1. an isosceles trapezoid
2. a parallelogram
3. a rectangle
4. a rhombus

24. The diagonals of a rhombus are

1. equal
2. parallel
3. unequal
4. none of these.

25. The diagonals of a trapezium are

1. not equal
2. equal
3. sometimes equal
4. none of these.

26. The diagonals of a trapezium are not perpendicular.

1. always true
2. false statement
3. sometimes true
4. none of these.

27. The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only, if

1. ABCD is a rhombus
2. diagonals of ABCD are equal
3. diagonals of ABCD are equal and perpendicular
4. diagonals of ABCD are perpendicular

28. The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is

1. a rhombus
2. a rectangle
3. a square
4. any parallelogram

29. The quadrilateral formed by joining the mid-points of the side of quadrilateral PQRS, taken in order, is a rhombus, if

1. PQRS is a rhombus
2. PQRS is a parallelogram
3. diagonals of PQRS are perpendicular
4. diagonals of PQRS are equal

30. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

1. PQRS is a rectangle
2. PQRS is a parallelogram
3. diagonals of PQRS are perpendicular
4. diagonals of PQRS are equal

31. Three angles of a quadrilateral are 75^o, 90^o and 75^o, then the fourth angle is

1. 90^o
2. 95^o
3. 105^o
4. 120^o

32. Trapezium, rhombus and parallelograms are

1. triangles
2. circles
3. quadrilaterals
4. none of these.

33. What is true about the diagonals in an isosceles trapezoid?

1. They are congruent.
2. They are perpendicular.
3. They are congruent and perpendicular.
4. The length of each diagonal is equal to half the sum of the bases.

34. What statement would be suffi cient to prove that a quadrilateral is a rhombus?

1. The quadrilateral has four congruent angles.
2. The quadrilateral has two pairs of parallel sides.
3. The quadrilateral has four congruent sides.
4. The quadrilateral has two pairs of congruent angles.

35. When a quadrilateral is reflected over the line y = x, which geometric relationship is not preserved?

1. congruence
2. orientation
3. parallelism
4. perpendicularity

36. Which compound statement is true?

1. A triangle has three sides and a quadrilateral has five sides.
2. A triangle has three sides if and only if a quadrilateral has five sides.
3. If a triangle has three sides, then a quadrilateral has five sides.
4. A triangle has three sides or a quadrilateral has five sides.

37. Which description does NOT guarantee that a quadrilateral is a square?

1. is both a rectangle and a rhombus
2. is a parallelogram with perpendicular diagonals
3. has all sides congruent and all angles congruent
4. has all right angles and has all sides congruent

38. Which of the following conditions or set of conditions is suffi cient for a parallelogram to be a square?

1. Diagonals are perpendicular and diagonals are congruent.
2. Diagonals are congruent.
3. All sides are congruent.
4. The length of a diagonal is equal to the length of a side.

39. Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?

1. Diagonals are perpendicular.
2. Diagonals are congruent.
3. All sides are congruent.
4. The length of a diagonal is equal to the length of a side.

40. Which of the following is not a parallelogram?

1. trapezium
2. square
3. rectangle
4. rhombus

41. Which of the following is not true for a parallelogram?

1. Opposite sides are equal
2. Opposite angles are equal
3. Opposite angles are bisected by the diagonals
4. Diagonals bisect each other

42. Which of the following statements is NOT true when describing the diagonals of a rectangle?

1. The diagonals of a rectangle are always perpendicular.
2. The diagonals of a rectangle are always congruent.
3. The diagonals of a rectangle always bisect one another
4. The diagonals of a rectangle are always longer than any one side of the rectangle.

43. Which of the quadrilateral is not a parallelogram ?

1. rectangle
2. trapezium
3. square
4. rhombus.

44. Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

1. rhombus
2. rectangle
3. parallelogram
4. isosceles trapezoid

45. Which quadrilateral has only one pair of opposite sides parallel ?

1. trapezium
2. rhombus
3. rectangle
4. none of these.

46. Which statement is true?

1. All quadrilaterals are rectangles.
2. All quadrilaterals are squares.
3. All rectangles are quadrilaterals.
4. All quadrilaterals are parallelograms.