Exercise 18.2 mainly deals with concepts related to constructing a quadrilateral when its three sides and two diagonals are given. Students can self analyze the knowledge gained about the chapter by solving the solutions which are formulated by our expert tutors. Students aspiring to score high marks are advised to download and practice the solutions on a daily basis. RD Sharma Class 8 Solutions pdf are available here where students can download from the links provided below.

## Download the Pdf of RD Sharma Solutions for Class 8 Maths Exercise 18.2 Chapter 18 Practical Geometry (Constructions)

### Access answers to RD Sharma Maths Solutions For Class 8 Exercise 18.2 Chapter 18 Practical Geometry (Constructions)

**1. Construct a quadrilateralÂ ABCDÂ in whichÂ AB =Â 3.8 cm,Â BCÂ = 3.0 cm,Â ADÂ = 2.3 cm,Â ACÂ = 4.5 cm andÂ BDÂ = 3.8 cm.**

**Solution:**

The given details are AB =Â 3.8 cm,Â BCÂ = 3.0 cm,Â ADÂ = 2.3 cm,Â ACÂ = 4.5 cm andÂ BDÂ = 3.8 cm.

Steps to construct a quadrilateral:

Step 1- Draw a line AC = 6cm.

Step 2- Cut an arc of radius 3.8cm with A as the center to mark that point as B.

Step 3- Cut an arc of radius 3cm with C as the center to intersect with point B.

Step 4- Cut an arc of radius 3.8cm with B as the center to mark that point as D.

Step 5- Cut an arc of radius 2.3cm with A as the center to intersect with point D.

Step 6- Now join AB, BD, AD and DC

**2. Construct a quadrilateralÂ ABCDÂ in whichÂ BC =Â 7.5 cm,Â ACÂ =Â ADÂ = 6 cm,Â CDÂ = 5 cm andÂ BDÂ = 10 cm.**

**Solution:**

The given details are BC =Â 7.5 cm,Â ACÂ =Â ADÂ = 6 cm,Â CDÂ = 5 cm andÂ BDÂ = 10 cm.

Steps to construct a quadrilateral:

Step 1- Draw a line AC = 6cm.

Step 2- Cut an arc of radius 6cm with A as the center to mark that point as D.

Step 3- Cut an arc of radius 5cm with C as the center to intersect at point D.

Step 4- Cut an arc of radius 10cm with D as the center to mark that point as B.

Step 5- Cut an arc of radius 7.5cm with C as the center to intersect at point B.

Step 6- Now join AD, CD, DB and AB

**3. Construct a quadrilateralÂ ABCDÂ whenÂ AB =Â 3 cm,Â CDÂ = 3 cm,Â DAÂ = 7.5 cm,Â ACÂ = 8 cm andÂ BDÂ = 4 cm.**

**Solution:**

The given details are AB =Â 3 cm,Â CDÂ = 3 cm,Â DAÂ = 7.5 cm,Â ACÂ = 8 cm andÂ BDÂ = 4 cm.

Consider a triangle ABD from the given data,

So, AB + BD = 3+4 = 7cm

We know that sum of lengths of two sides of a triangle is always greater than the third side.

âˆ´ The construction is not possible.

**4. Construct a quadrilateralÂ ABCDÂ givenÂ AD =Â 3.5 cm,Â BCÂ = 2.5 cm,Â CDÂ = 4.1 cm,Â ACÂ = 7.3 cm andÂ BDÂ = 3.2 cm.**

**Solution:**

The given details are AD =Â 3.5 cm,Â BCÂ = 2.5 cm,Â CDÂ = 4.1 cm,Â ACÂ = 7.3 cm andÂ BDÂ = 3.2 cm.

Steps to construct a quadrilateral:

Step 1- Draw a line CD = 4.1cm

Step 2- Cut an arc of radius 7.3cm with C as the center to mark that point as A.

Step 3- Cut an arc of radius 3.5cm with D as the center to intersect at point A.

Step 4- Cut an arc of radius 3.2cm with D as the center to mark that point as B.

Step 5- Cut an arc of radius 2.5cm with C as the center to intersect at point B.

Step 6- Now join CA, DA, DB, CB and AB

**5. Construct a quadrilateralÂ ABCDÂ givenÂ AD =Â 5 cm, ABÂ = 5.5 cm,Â BCÂ = 2.5 cm,Â ACÂ = 7.1 cm andÂ BDÂ = 8 cm.**

**Solution:**

The given details are AD =Â 5 cm, ABÂ = 5.5 cm,Â BCÂ = 2.5 cm,Â ACÂ = 7.1 cm andÂ BDÂ = 8 cm.

Steps to construct a quadrilateral:

Step 1- Draw a line AB = 5.5cm

Step 2- Cut an arc of radius 2.5cm with B as the center to mark that point as C.

Step 3- Cut an arc of radius 7.1cm with A as the center to intersect at point C.

Step 4- Cut an arc of radius 8cm with B as the center to mark that point as D.

Step 5- Cut an arc of radius 5cm with A as the center to intersect at point D.

Step 6- Now join BC, AC, BD, AD and CD

**6. Construct a quadrilateralÂ ABCDÂ in whichÂ BC =Â 4 cm,Â CAÂ = 5.6 cm,Â ADÂ = 4.5 cm,Â CDÂ = 5 cm andÂ BDÂ = 6.5 cm.**

**Solution:**

The given details are BC =Â 4 cm,Â CAÂ = 5.6 cm,Â ADÂ = 4.5 cm,Â CDÂ = 5 cm andÂ BDÂ = 6.5 cm.

Steps to construct a quadrilateral:

Step 1- Draw a line BC = 4cm

Step 2- Cut an arc of radius 6.5cm with B as the center to mark that point as D.

Step 3- Cut an arc of radius 5cm with C as the center to intersect at point D.

Step 4- Cut an arc of radius 5.6cm with C as the center to mark that point as A.

Step 5- Cut an arc of radius 4.5cm with D as the center to intersect at point A.

Step 6- Now join BD, CD, CA, DA and AB