Quadrilaterals Multiple Choice Questions and Answers for Practice

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. Rectangle
2. Trapezoid
3. Rhombus
4. Kite

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

18. In a parallelogram opposite angles are

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

19. In a parallelogram opposite sides are

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

20. Opposite angles are not equal in a

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

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

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

22. The diagonals are perpendicular in a

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

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

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

24. The diagonals of a rhombus are

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

25. The diagonals of a trapezium are

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

26. The diagonals of a trapezium are not perpendicular.

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

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

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

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

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

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

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

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