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

- 90
^{o} - 95
^{o} - 105
^{o} - 120
^{o}

32. Trapezium, rhombus and parallelograms are

- triangles
- circles
- quadrilaterals
- none of these.

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

- They are congruent.
- They are perpendicular.
- They are congruent and perpendicular.
- 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?

- The quadrilateral has four congruent angles.
- The quadrilateral has two pairs of parallel sides.
- The quadrilateral has four congruent sides.
- 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?

- congruence
- orientation
- parallelism
- perpendicularity

36. Which compound statement is true?

- A triangle has three sides and a quadrilateral has five sides.
- A triangle has three sides if and only if a quadrilateral has five sides.
- If a triangle has three sides, then a quadrilateral has five sides.
- A triangle has three sides or a quadrilateral has five sides.

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

- is both a rectangle and a rhombus
- is a parallelogram with perpendicular diagonals
- has all sides congruent and all angles congruent
- 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?

- Diagonals are perpendicular and diagonals are congruent.
- Diagonals are congruent.
- All sides are congruent.
- 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?

- Diagonals are perpendicular.
- Diagonals are congruent.
- All sides are congruent.
- The length of a diagonal is equal to the length of a side.

40. Which of the following is not a parallelogram?

- trapezium
- square
- rectangle
- rhombus

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