Construct a quadrilateral ABCD in which AB= 4.2cm, BC= 6cm, CD=5.2cm, DA=5cm and AC= 8 cm.

Construct a quadrilateral PQRS in which PQ=5.4cm, QR=4.6cm, RS=4.3cm, SP= 3.5cm and diagonal PR=4cm.

Construct a quadrilateral ABCD in which AB=3.5cm, BC=3.58cm, CD=DA=4.5 cm and diagonal BD=5.6cm.

Construct a quadrilateral ABCD in which AB=3.6cm, BC=3.3cm, AD=2.7cm, diagonal AC=4.6cm and diagonal BD=4cm.

Construct a quadrilateral PQRS in which QR=7.5cm, PR=PS=6cm, RS=5cm, QS=10cm. Measure the fourth side.

Construct a quadrilateral ABCD in which AB=3.4cm, CD= 3cm, DA=5.7cm, AC=8cm and BD=4cm.

Construct a quadrilateral ABCD in which AB=BD=3.5cm, AD=CD=5.2 and ∠ABC=120^o

Construct a quadrilateral ABCD in which AB=2.9cm, BD=3.2cm, CD=2.7cm, DA=3.4cm and ∠A = 70°.

Construct a quadrilateral ABCD in which AB=3.5cm, BC=5cm, CD=4.6cm, ∠B = 125° and ∠C = 60°.

Construct a quadrilateral PQRS in which PQ=6cm, QR=5.6cm, RS=2.7cm, ∠Q = 45° and ∠R = 90°.

Construct a quadrilateral ABCD in which AB=5.6cm, BC=4cm, ∠A= 50°, ∠B = 105° and ∠D = 80°.

Construct a quadrilateral PQRS in which PQ=5cm, QR=6.5cm, ∠P = ∠R = 100° and ∠S = 75° .

Construct a quadrilateral ABCD in which AB=4cm, AC=5cm, AD=5.5cm and ∠ABC =∠ACD = 90°.

Construct a parallelogram ABCD in which AB=5.2cm, BC=4.7cm and AC=7.6cm.

Construct a parallelogram ABCD in which AB=4.3cm, AD=4cm and BD=6.8cm.

Construct a parallelogram PQRS in which QR=6cm, PQ=4cm and ∠PQR = 60°.

Construct a parallelogram ABCD in which BC=5cm, ∠BCD = 120° and CD=4.8cm.

Construct a parallelogram, one of whose sides are 4.4 cm and whose diagonal are 5.6 cm and 7 cm. Measure the other side.

Construct a parallelogram ABCD in which AB=6.5cm, AC=3.4cm and the altitude AL from A is 2.5 cm. Draw the altitude from C and measure it.

Construct a parallelogram ABCD, in which diagonal AC=3.8cm, diagonal BD=4.6cm and the angle between AC and BC is 60°.

Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.

Construct a square, each of whose sides measures 6.4 cm.

Construct a square, each of whose diagonals measures 5.8 cm.

Construct a rectangle PQRS in which cm and diagonal cm. Measure the other side of the rectangle.

Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.

Construct a rhombus ABCD in which AB=4cm and diagonal AC is 6.5 cm.

Draw a rhombus whose side is 7.2 cm and one angle is 60°.

Construct a trapezium ABCD in which AB=6cm, BC=4cm, CD=3.2cm, ∠B = 75° and DC||AB.

Draw a trapezium ABCD in which AB||DC, AB=7cm, BC=5cm, AD=6.5cm and ∠B = 60°.

Define the terms:

i. Open curve

ii. Closed curve

iii. Simple closed curve

The angels of a quadrilateral are in the ration 1:2:3:4. Find the measure of each angle.

Two adjacent angles of a parallelogram are the ration 2:3. Find the measure of each of its angles.

The sides of rectangle are in the ration 4:5 and its perimeter is 180 cm. Find its sides.

Prove that the diagonals of a rhombus bisect each other at right angles.

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each side of the rhombus.

Two opposite angles of a parallelogram are (3x-2)^o and (50-x)^o. The measures of all its angles are

The angles of quadrilateral are in the ration 1:3:7:9. The measure of the largest angle is

The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. The breadth of the rectangle is

In a square PQRS, if PQ=(2x+3) and QR=(3x-5) cm then

The bisectors of two adjacent angles of a parallelogram intersect at

How many diagonals are there in a hexagon?

Each interior angle of a polygon is 135. How many sides does it have?

Fill in the blanks.

For a convex polygon of n sides, we have:

i. Sum of all exterior angles = ...... .

ii. Sum of all interior angles = ...... .

iii. Number of diagonals = ...... .

Fill in the blanks.

For a regular polygon of n sides, we have:

i. Sum of all exterior angles = ...... .

ii. Sum of all interior angles = ...... .

Fill in the blanks.

i. Each interior angles of a regular octagon is

ii. The sum of all interior angle of a regular hexagon is

iii. Each exterior angle of a regular polygon is 60°. This polygon is a ...... .

iv. Each interior angle of a regular polygon is 108°. This polygon is a ...... .

v. A pentagon has ...... diagonals.

Write ‘T’ for true and ‘F’ for false of each of the following:

i. The diagonals of a parallelogram are equal.

ii. The diagonals of a rectangle are perpendicular to each other.

iii. The diagonals of a rhombus bisect each other at right angles.

iv. Every rhombus is a kite.

Construct a quadrilateral PQRS in which PQ = 4.2 cm, ∠PQR = 60°, ∠QPS = 120, QR = 5cm and PS = 6cm