Practical Geometry| NCERT Solutions| Class 8

NCERT Solutions of Chapter: Practical Geometry. NCERT Solutions along with worksheets and notes for Class 8.

Exercise 4.1

(1) Consider the following quadrilaterals.

(i) Quadrilateral ABCD.

AB = 4.5 cm

BC = 5.5 cm

CD = 4cm

AD = 6 cm

AC = 7 cm

(ii) Quadrilateral JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm

PJ = 4.5 cm

PU = 6.5 cm

(iii) Parallelogram MORE

OR = 6 cm

RE = 4.5 cm

EO = 7.5 cm

(iv) Rhombus BEST

BE = 4.5 cm

ET = 6 cm

Ans-

(i)

Given-

Quadrilateral ABCD

AB = 4.5 cm

BC = 5.5 cm

CD = 4cm

AD = 6 cm

AC = 7 cm

Step 1-

Draw rough sketch of required quadrilateral ABCD.

 

Diagram of Question 1 of Exercise 4.1 of NCERT Chapter Practical Geometry

Step 2 –

Draw diagonal AC = 7cm.

Step 3-

Draw an arc of 4 cm with C as a center.

 

Step 4-

Draw an arc of 6 cm with A as a center.

 

Step 5-

Mark point of intersection as D and join point D to point A and C.

 

Step 6-

Draw an arc of 5.5cm with C as a centre in other side of the diagonal.

 

Step 7-

Draw an arc of 4.5 cm with A as centre.

 

Step 8-

Mark point of intersection as B. Join point B to point A and C.

We get quadrilateral ABCD.

 

Diagram of Question 1 of Exercise 4.1 of NCERT Chapter Practical Geometry

(ii)

Given-

Quadrilateral JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm

PJ = 4.5 cm

PU = 6.5 cm

Step 1-

Draw rough sketch of required quadrilateral JUMP.

 

Diagram of Question 1(ii) of Exercise 4.1 of NCERT Chapter Practical Geometry

Step 2 –

Draw diagonal PU = 6.5 cm.

 

Step 3-

Draw an arc of 4 cm with U as a center.

 

Step 4-

Draw an arc of 5 cm with P as a center.

 

Step 5-

Mark point of intersection as M and join point M to point P and U.

 

Step 6-

Draw an arc of 3.5 cm with U as a centre in other side of the diagonal.

Step 7-

Draw an arc of 4.5 cm with P as centre.

Step 8-

Mark point of intersection as J. Join point J to point P and U.

We get required quadrilateral JUMP.

 

Diagram of Question 1(ii) of Exercise 4.1 of NCERT Chapter Practical Geometry

(iii)

Given-

Parallelogram MORE

OR = 6 cm

RE = 4.5 cm

EO = 7.5 cm

Ans-

Step 1-

Draw rough sketch of required quadrilateral MORE.

Diagram of Question 1(iii) of Exercise 4.1 of NCERT Chapter Practical Geometry

Step 2 –

Draw diagonal EO = 7.5 cm.

Step 3-

Draw an arc of 4.5 cm with O as a center.

 

Step 4-

Draw an arc of 6 cm with E as a center.

 

Step 5-

Mark point of intersection as M and join point M to point E and O.

 

Step 6-

Draw an arc of 4.5 cm with E as a centre in other side of the diagonal.

 

Step 7-

Draw an arc of 6 cm with O as centre.

 

Step 8-

Mark point of intersection as R. Join point R to point E and O.

We get required parallelogram MORE.

 

Diagram of Question 1(iii) of Exercise 4.1 of NCERT Chapter Practical Geometry

(iv)

Given-

Rhombus BEST

BE = 4.5 cm

ET = 6 cm

Ans-

Step 1-

Draw rough sketch of required rhombus BEST.

 

Diagram of Question 1(iv) of Exercise 4.1 of NCERT of Chapter Practical Geometry

Step2 –

Draw diagonal ET = 6 cm.

Step 3-

Draw an arc of 4.5 cm with E as a center.

 

Step 4-

Draw an arc of 4.5 cm with T as a center.

 

Step 5-

Mark point of intersection as B and join point B to point E and T.

Step 6-

Draw an arc of 4.5 cm with E as a centre in other side of the diagonal.

 

Step 7-

Draw an arc of 4.5 cm with T as centre.

 

Step 8-

Mark point of intersection as S. Join point S to point E and T.

BEST is required rhombus.

 

Practical geometry,A 1(iv),step 8,diagram,Exercise 4.1,NCERT,class 8

Diagram of Question 1(i) of Exercise 4.2 of NCERT Chapter Practical Geometry

Diagram of Question 1(ii) of Exercise 4.2 of NCERT Chapter Practical Geometry

Diagram of Question 1(iii) of Exercise 4.2 of NCERT Chapter Practical Geometry

Step 6-

Join point B to point E and Point D.

Diagram of Question 1(iii) of Exercise 4.2 of NCERT Chapter Practical Geometry

Diagram of Question 1(i) of Exercise 4.3 of NCERT Chapter Practical Geometry

Construction of 105° angle

Construction of 60° angle

Diagram of Question 1(ii) of Exercise 4.3 of NCERT Chapter Practical Geometry

Construction of 90° angle

Construction of 75° angle

[85° and 110° angles are constructed by protector and ruler. NCERT syllabus is followed.]

Diagram of Question 1(ii) of Exercise 4.3 of NCERT Chapter Practical Geometry

[85° and 95° angles are constructed by protector and ruler. NCERT syllabus is followed.]

Diagram of Question 1(iv) of Exercise 4.3 of NCERT Chapter Practical Geometry

Construction of 90° angle

Diagram of Question 1(iv) of Exercise 4.3 of NCERT Chapter Practical Geometry

Diagram of Question 1(i) of Exercise 4.4 of NCERT Chapter Practical Geometry

 

Practical geometry,A 1(i),step 2,diagram,Exercise 4.4,NCERT,class 8

 

Construction of 60° angle

 

Construction of 90° angle

Diagram of Question 1(i) of Exercise 4.4 of NCERT Chapter Practical Geometry

Diagram of Question 1(ii) of Exercise 4.4 of NCERT Chapter Practical Geometry

 

 

Construction of 75° angle

 

 

 

Construction of 120° angle

 

 

Diagram of Question 1 of Exercise 4.5 of NCERT Chapter Practical Geometry

Construction of 90° angle

 

Diagram of Question 1 of Exercise 4.5 of NCERT Chapter Practical Geometry

Diagram of Question 2 of Exercise 4.5 of NCERT Chapter Practical Geometry

Construction of 90° angle

 

Diagram of Question 2 of Exercise 4.5 of NCERT Chapter Practical Geometry

Diagram of Question 3 of Exercise 4.5 of NCERT Chapter Practical Geometry

Construction of 90° angle

 

Diagram of Question 3 of Exercise 4.5 of NCERT Chapter Practical Geometry

Diagram of Question 4 of Exercise 4.5 of NCERT Chapter Practical Geometry

Diagram of Question 4 of Exercise 4.5 of NCERT Chapter Practical Geometry

Note:- No process of drawing 80°, 95°, 100° or any other angle with compass and ruler, which is not in multiple of 15, is explained in NCERT syllabus. Therefore, we are not using any process of construction of these angles with compass. We draw angles which are multiple of 15 with compass and rulers. Any other angles are costructed with help of protactor.

Helping Topics

Practical Geometry

Construction of 30° angle

Construction of 60° angle

Construction of 75° angle

Construction of 90° angle

Construction of 105° angle

Construction of 120° angle

 

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