# Draw the following.

1. A square READ with RE = 5.1 cm.

2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

3. A rectangle with adjacent sides of lengths 5 cm and 4 cm

4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

**Solution:**

Steps:

i) Step 1: Draw a line segment RE = 5.1 cm.

Step 2: Draw an angle of 90° at E and cut EA = 5.1 cm.

Step 3: Draw two arcs from A and R with radius 5.1 cm to cut each other at D.

Step 4: Join RD and AD.

READ is the required square.

ii)

Step 1: Draw a line segment AB=6.4 cm.

Step 2: Draw perpendicular bisector of AB meeting AB at O.

Step 3: 5.2 cm divided by 2 = 2.6 cm. Measure 2.6 cm from O on either side of AB on perpendicular bisector and mark them as C and D.

Step 4: Join AC, AD, BC and BD.

Step 5: ABCD is the required rhombus.

iii)

Step 1: Draw a line segment PQ = 5 cm.

Step 2: Draw an angle of 90° at Q and cut QR = 4 cm.

Step 3: With centre R and radius 5 cm draw an arc.

Step 4: Draw another arc with centre P and radius 4 cm to meet the former arc at S.

Step 5: Join RS and PS.

Thus, PQRS is the required rectangle.

iv)

Step 1: Draw a line segment OK = 5.5 cm.

Step 2: Draw an angle of any measure (say 60°) at K and cut KA = 4.2 cm.

Step 3: With centre A and radius of 5.5 cm draw an arc.

Step 4: Draw another arc with centre O and radius 4.2 cm to cut thes former arc at Y.

Step 5: Join AY and OY.

OKAY is the required parallelogram.

It is not a unique parallelogram as the angle at K can be of measure other than 60°.

**Video Solution:**

## Draw the following. 1. A square READ with RE = 1 cm. 2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long. 3. A rectangle with adjacent sides of lengths 5 cm and 4 cm 4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

### NCERT Solutions for Class 8 Maths - Chapter 4 Exercise 4.5 Question 1

Draw the following. 1. A square READ with RE = 1 cm. 2. A rhombus whose diagonals are 5.2 cm and 6.4 cm long. 3. A rectangle with adjacent sides of lengths 5 cm and 4 cm 4. A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm. Is it unique?

The different quadrilaterals are constructed using geometry tools applying the quadrilateral properties