NCERT Solutions for Class 7 Mathematics Chapter 10: Practical Geometry

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NCERT Solutions for Class 7 Mathematics Chapter 10 Practical Geometry are provided in the article below. Practical geometry is an important branch of geometry which deals with the study of the size, positions, shapes as well as dimensions of objects. Whether you have to draw a line segment or measure it, draw a circle or arcs, draw an angle, etc. it can easily be possible with the help of geometrical tools. Some of the important topics in Practical Geometry chapter are:

Download: NCERT Solutions for Class 7 Mathematics Chapter 10 pdf

NCERT Solutions for Class 7 Mathematics Chapter 10

NCERT Solutions for Class 7 Mathematics Chapter 10 Practical Geometry is given below.

Class 7 Maths Chapter 10 Practical Geometry – Important Topics

Practical Geometry: It is the practical study of constructing geometrical figures.

Perpendicular Bisector: It is the line that is constructed by the use of angles to bisect a line segment into two equal halves.

Angle Bisector: It is a line that is constructed to bisect an angle into two equal halves.

Example: Make a line AB and place a point P on the outside of it. Draw a line CD that runs parallel to AB and passes through point P.

Ans.

Draw an AB line.
Join PQ with a point Q on AB and a point P outside AB.
Draw on the arc to cut AB at X and PQ at Z with Q as the centre and any radius.
Draw an arc cutting QP at Y with P as the centre and the same radius.
Draw an arc to cut the preceding arc at E, with Y as the centre and the radius equal to XZ.
To get the desired line, join PE and produce it on both sides.

NCERT Solutions for Class 7 Maths Chapter 10 Exercises

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercises are given below.

Read More:

Construction of Rhombus	Perpendicular Lines	ASA Triangles Construction
SAS Triangles Construction	RHS Triangles Construction	Perimeter two angles constructing triangles

Class 7 Maths Guides:

NCERT Solutions for Class 7 Maths	Number System	Geometry
Arithmetics	Basic Maths	Maths Formulas

CBSE X Related Questions

1.
AB and CD are diameters of a circle with centre O and radius 7 cm. If $\angle BOD = 30^\circ$, then find the area and perimeter of the shaded region.

View Solution

2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number

View Solution

3.
Find length and breadth of a rectangular park whose perimeter is $100 \, \text{m}$ and area is $600 \, \text{m}^2$.

View Solution

4.
Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): For any two prime numbers $p$ and $q$, their HCF is 1 and LCM is $p + q$.
Reason (R): For any two natural numbers, HCF × LCM = product of numbers.

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.

View Solution

5.
If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is

$\dfrac{1}{2}$
2
-2
$-\dfrac{1}{2}$

View Solution

6.
In a trapezium $ABCD$, $AB \parallel DC$ and its diagonals intersect at $O$. Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]

View Solution

NCERT Solutions for Class 7 Mathematics Chapter 10: Practical Geometry

Download: NCERT Solutions for Class 7 Mathematics Chapter 10 pdf

NCERT Solutions for Class 7 Mathematics Chapter 10

Class 7 Maths Chapter 10 Practical Geometry – Important Topics

NCERT Solutions for Class 7 Maths Chapter 10 Exercises

CBSE X Related Questions

1.
AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.

2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number

3.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

5.
If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is

6.
In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]

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NCERT Solutions for Class 7 Mathematics Chapter 10: Practical Geometry

Download: NCERT Solutions for Class 7 Mathematics Chapter 10 pdf

NCERT Solutions for Class 7 Mathematics Chapter 10

Class 7 Maths Chapter 10 Practical Geometry – Important Topics

NCERT Solutions for Class 7 Maths Chapter 10 Exercises

CBSE X Related Questions

1.AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.

2.Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that (i) $pqr + 1$ is a composite number (ii) $pqr + 1$ is a prime number

3.Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

5.If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is

6.In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.

2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number

3.
Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).

5.
If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is

6.
In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]