NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment AB = 5.8 cm.

2. At point A, draw an angle 60° i.e.

3. At point B, draw an angle of 30° i.e.

4. Now the two rays intersect at the point C.

Then,

Q.2 Construct

(Hint: Recall angle-sum property of a triangle)

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

Given:

105° + 40° +

145° +

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

Step 2. At point P, draw an angle

Step 3 At point Q draw an angle

Step 4. Now the two rays intersect at the point R.

Then,

Q.3 Examine whether you can construct ?DEF such that EF = 7.2 cm, m

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

To construct

= 190° > 180° [Sum of the angles of a triangle = 180°]

Q.1 Draw a line, say AB, take a point C outside it. Through C draw a line parallel to AB using ruler and compasses only.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

(i) Draw a line AB.

(ii) Take any point R on it.

(iii) Join the given point C to R and mark

(iv) Mark

(v) PQ is the required line.

Q.2 Draw a line L. Draw a perpendicular to L at any point on L. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to L.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

(i) Draw a given line l and take any point P on it.

(ii) Draw a perpendicular line at P to the line l such that PX = 4 cm.

(iii) Draw

(iv) m is the required line parallel to l through X.
Using Properties of Alternate Angles

Q.3 Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line l.

2. Take any point Q on L and a point P outside L and join PQ.

3. Make sure that angles at point P and point Q are equal i.e.

4. At point P extend line to get line M which is parallel L.

5. Then take any point R on line M.

6. At point R draw angle such that

7. At point R extend line which intersects line L at S and draw a line RS.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment YZ = 5 cm.

2. With Z as a center and radius 6 cm, draw an arc.

3. With Y as a center and radius 4.5 cm, draw another arc, cutting the previous arc at X.<

4. Join XY and XZ.

Then,

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment AB = 5.5 cm.

2. With A as a center and radius 5.5 cm, draw an arc.

3. With B as a center and radius 5.5 cm, draw another arc, cutting the previous arc at C.

4. Join CA and CB.

Then,

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment QR = 3.5 cm.

2. With Q as a center and radius 4 cm, draw an arc.

3. With R as a center and radius 4 cm, draw another arc, cutting the previous arc at P.

4. Join PQ and PR.

Then, ?PQR is the required isosceles triangle.

Q.4 Construct

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment BC = 6 cm.

2. With B as a center and radius 2.5 cm, draw an arc.

3. With C as a center and radius 6.5 cm, draw another arc, cutting the previous arc at A.

4. Join AB and AC.

Then, ?ABC is the required triangle.

5. When we will measure the angle B of triangle by protractor, then angle is equal to ?B = 90°

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment DE = 5 cm

2. Draw an angle

3. Cut an arc from D on DF of 3 cm

Then,

Q.2 Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is 110°.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

Step 1.Draw a line segment QR = 6.5 cm.

Step 2. At point A, draw a line QP to making an angle of 110° i.e.

4. Join PR.

Then,

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

1. Draw a line segment BC = 7.5 cm.

2. At point C, draw an angle

3. Join AB.

Then,

Q.1 Construct the right angled

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

Step 1 Draw QR = 8 cm.

Step 2 Draw

Step 3 Draw an arc with centre R and radius 10 cm to cut the perpendicular line at P.

Step 4

[Using RHS criterion]

Q.2 Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

Step 1 Draw BC = 4 cm.

Step 2 Draw

Step 3 Cut AC = 6 cm.

Step 4 join AB And AC

Step 4

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry

Answer :

Step 1 Draw BC = 6 cm.

Step 2 Draw

Step 3 Cut AC = 6 cm.

Step 4 join AB

Step 5

There are total 16 questions present in ncert solutions for class 7 maths chapter 10 practical geometry

There are total 0 long question/answers in ncert solutions for class 7 maths chapter 10 practical geometry

There are total 5 exercise present in ncert solutions for class 7 maths chapter 10 practical geometry