Which of the following quadrilaterals does not have two pairs of adjacent sides equal and diagonals intersecting at right angle?

1

(a)

Rhombus

(b)

Square

(c)

Kite

(d)

Rectangle

Which of the following is not a parallelogram?

1

(a)

Square

(b)

Rectangle

(c)

Trapezium

(d)

Rhombus

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: 3: 4. The measure of smallest angle is:

1

(a)

36°

(b)

54°

(c)

72°

(d)

18°

What will be the side of a rhombus whose diagonals are 10 em and 24 em long?

1

(a)

15 em

(b)

17 em

(c)

18 em 

(d)

13 em

Which of the following is the sum of all the interior angles of a ploynomial of sides 'n'?

1

(a)

(n + 2) \(\times\) 180°

(b)

(n + 2) \(\times\)x 90°

(c)

(n - 2) \(\times\) 190°

(d)

(n - 2)\(\times\) 180°

_______________ is the sum of an exterior angle and its adjacent interior angle

1

(a)

Straight angle

In a quadrilateral LIKE, LE = 10 cm, IK = 8 cm. Also, if LE = EK and LI = IK, then the quadrilateral is a ________________

1

(a)

Kite, In a kite, two pairs of adjacent sides are equal.

In a ______________ opposite sides are equal, opposite angles are equal and diagonals bisect one another.

1

(a)

Parallelogram

A unique quadrilateral can be constructed with any four given measurements.

1

(a) True

(b) False

In a parallelogram, adjacent angles are equal.

1

(a) True

(b) False

In a square, diagonals bisect each other at 90°.

1

(a) False

(b) True

We saw that 5 measurements of a quadrilateral can determine a quadrilateral uniquely. Do you think any five measurements of the quadrilateral can do this?

2

(a)

Can you construct a quadrilateral PQRS with PQ = 3 cm,RS = 3 cm, PS = 7.5 cm, PR = 8 cm and SQ = 4 cm?Justify your answer

2

(a)

In a parallelogram, the lengths of adjacent sides are known. Do we still need measures of the angles to construct?

2

(a)

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 5 cm, \(\angle \)B = 120°, \(\angle \)C = 105°, \(\angle \)A = 160°? If not, why?

2

(a)

In a parallelogram, the lengths of adjacent sides are known. Do we still need measures of the angles to construct?

2

(a)

Construct the following quadrilaterals. Quadrilateral DEAR DE = 4 cm, EA = 5 cm, AR = 4.5 cm, \(\angle \)E = 60°, \(\angle \)A = 90°

3

(a)

Draw the following. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

3

(a)

Construct a square of side 4 cm.

3

(a)

Construct a quadrilateral ABCD, where AB = 5 cm, CD = 4 cm, DB = 7cm, BC = 6 cm and DA = 5.5 cm.

5

(a)

How will you construct a rectangle PQRS, if you know only the lengths PQ and QR?

5

(a)

Construct the following quadrilaterals. Rhombus BEND BN = 5.6 cm, DE = 6.5 cm

5

(a)

Construct the following quadrilaterals. Rectangle OKAY OK = 7 cm, KA = 5 cm

5

(a)