QUADRILATERALS

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Which of the following is not true?
1. Every square is a rectangle
2. None
3. Every rectangle is a quadrilateral
4. Every parallelogram is a trapezium
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral?
1. Both A & B
2. can be a quadrilateral
3. None
4. cannot be a quadrilateral
ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.
1. 140,130
2. 135,135
3. 120,150
4. 130,140
The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.
1. 70,70,110,110
2. 80,80,100,100
3. None
4. 60,60,120,120
If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a
1. quadrilateral whose opposite angles are supplementary
2. Rectangle
3. Rhombus
4. None
Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.
1. None
2. AC = 6 cm and BD = 4cm
3. AC = 12 cm and BD = 6cm
4. AC = 4 cm and BD = 6cm
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
1. 88
2. 80
3. 84
4. 86
Diagonals of a parallelogram are perpendicular to each other.
1. Either true or False
2. True
3. neither true or False
4. False
All the angles of a quadrilateral are equal. then quadrilateral is
1. Square
2. Rectangle
3. trapezium.
4. rhombus
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. None
Diagonals of a rectangle are equal and perpendicular. Is this statement true
1. True
2. False
3. None
4. Either True or false
ABCD is a rhombus such that ∠ACB = 40º. Then ∠ADB is
1. 50º
2. 45º
3. 60º
4. 40º
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is
1. 40º
2. 25º
3. 50º
4. 55º
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 parallelogram
2. diagonals of PQRS are perpendicular
3. diagonals of PQRS are equal.
4. PQRS is a rectangle
In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. Find the length of CF.
1. 4cm
2. 8cm
3. 5cm
4. 6cm
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral

PQRS, taken in order, is a rhombus, if
1. PQRS is a rhombus
2. diagonals of PQRS are perpendicular
3. diagonals of PQRS are equal
4. PQRS is a parallelogram
A quadrilateral with only one pair of opposite sides parallel is called
1. rectangle
2. trapezium
3. square
4. rhombus
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is
1. 90º
2. 95º
3. 105º
4. 120º
In quadrilateral ABCD, ∠A + ∠D = 180º. then it is a
1. Rectangle
2. Square
3. Rhombus
4. trapezium.
The consecutive angles of a parallelogram are
1. Complementary
2. None
3. Supplementary
4. Equal

QUADRILATERALS

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