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:

  1. Geometry Formula
  2. Analytical Geometry
  3. Geometry
  4. Three-dimensional Geometry Introduction

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.

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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.

  1. Draw an AB line.
  2. Join PQ with a point Q on AB and a point P outside AB.
  3. Draw on the arc to cut AB at X and PQ at Z with Q as the centre and any radius.
  4. Draw an arc cutting QP at Y with P as the centre and the same radius.
  5. Draw an arc to cut the preceding arc at E, with Y as the centre and the radius equal to XZ.
  6. 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:

Class 7 Maths Guides:

CBSE X Related Questions

  • 1.
    The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


      • 2.
        If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

          • $x^2 + 5x - 4$
          • $(x + 3) (-x + 8)$
          • $a(x^2 + 5x - 24)$
          • $x^2 - 24$

        • 3.
          Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


            • 4.
              A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


                • 5.
                  The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

                    • $1$
                    • $-5$
                    • $25$
                    • $\sqrt{5}$

                  • 6.
                    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

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