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.

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Class 7 Maths Guides:

CBSE X Related Questions

  • 1.
    The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

      • \(2:5\)
      • \(1:2\)
      • \(2:1\)
      • \(5:2\)

    • 2.
      Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.


        • 3.
          Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


            • 4.
              In the adjoining figure, the slant height of the conical part is :

                • 4 cm
                • 7 cm
                • 5 cm
                • 25 cm

              • 5.
                The HCF of 960 and 432 is :

                  • 48
                  • 54
                  • 72
                  • 36

                • 6.
                  In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
                  (i) Name the quadrilateral MQBN. (1)
                  (ii) Is MN parallel to PA? Justify your answer. (1)
                  (iii) Find length TB. (1)
                  (iv) Find length MN. (2)

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