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

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

32. Trapezium, rhombus and parallelograms are

1. triangles
2. circles
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
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