# Class 8 NCERT Solutions – Chapter 4 Practical Geometry – Exercise 4.3

Last Updated : 04 May, 2021

### Construct the following quadrilaterals:

1. Quadrilateral MORE
MO = 6 cm, âˆ R = 105Â°, OR = 4.5 cm, âˆ M = 60Â°, âˆ O = 105Â°

2. Quadrilateral PLAN
PL = 4 cm, LA = 6.5 cm, âˆ P = 90Â°, âˆ A = 110Â°, âˆ N = 85Â°

3. Parallelogram HEAR
HE = 5 cm, EA = 6 cm, âˆ R = 85Â°

4. Rectangle OKAY
OK = 7 cm, KA = 5 cm

### 1. Quadrilateral MORE

Given

MO = 6 cm, âˆ R = 105Â°, OR = 4.5 cm, âˆ M = 60Â°, âˆ O = 105Â°

Steps for Construction

Step 1: Draw a line ‘OR’ measuring = 4.5 cm.

Step 2: Draw angles of 105Â° from both the points ‘O’ and ‘R’, as shown below

Step 3: Open an arc of 6 cm then cut ‘OM’ of 6 cm, as shown in the figure below

Step 4: Now make an angle of 60Â° from point ‘M’ which will further join point ‘E’.

Step 5: We have the quadrilateral ‘MORE’

### 2. Quadrilateral PLAN

Given

PL = 4 cm, LA = 6.5 cm, âˆ P = 90Â°, âˆ A = 110Â°, âˆ N = 85Â°

First we will find angle L,
Sum of angles of a quadrilateral = 360Â°
âˆ P + âˆ A + âˆ N + âˆ L = 360Â°
90Â° + 110Â° + 85Â° + âˆ L = 360Â°
âˆ L = 360Â° – 285Â°
âˆ L = 75Â°

Steps for Construction

Step 1: Draw a line segment LA = 6.5 cm.

Step 2: Draw an angle of 75Â° from point L.

Step 3: Draw another angle of 110Â° from point A

Step 4: From point L cut PL=4 cm.

Step 5: From point P draw an angle of 90Â° which intersect the angle line extended through A at N.

Hence, we have our required quadrilateral PLAN.

### 3. Parallelogram HEAR

Given

HE = 5 cm, EA = 6 cm, âˆ R = 85Â°

Steps for Construction

Step 1: Draw a line segment HE = 5 cm

Step 2: From point E draw an angle of 85Â°.

Step 3: From point E cut EA = 6 cm

Step 4: Draw an arc from center A of 5 cm, draw another arc of 6 cm with centre E, and further mark point R at the intersection of both the arcs. as shown below:

Step 5: Join HR and AR respectively.

Thus, we have the required quadrilateral HEAR.

### 4. Rectangle OKAY

Given

OK = 7 cm, KA = 5 cm

All the angles of a rectangle are 90Â° and the opposite sides are equal.

Steps for Construction

Step 1: Draw a line segment OK = 7 cm.

Step 2: Draw an 90Â° angle from point O.

Step 3: Taking point O as radius draw an arc of 5 cm as shown, and mark the point Y.

Step 4: Taking Points K and Y as centre draw arcs of 5 cm and 7 cm respectively, intersect both the arcs at point A.

Step 5: Join KA and AY.

Thus, we have the required rectangle OKAY.

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