Constructions Class 10 Notes: Chapter 11

Constructions Class 10 notes are provided here to help the class 10 students learn this topic better and revise the related concepts quickly. Constructions, a part of Geometry helps students to draw the angles, triangles, angle bisections, perpendicular bisector of a line segment using the ruler and compass.

Constructions Class 10 Concepts

The topic covered in construction class 10 chapter 11 notes are

  • Definition of Construction
  • Division of a Line Segment
  • Construction of a Triangle Similar to a Given Triangle as per a Given Scale Factor
  • Construction of Tangents to a Circle
  • Practice Questions

Construction Class 10 Notes

The brief notes on the constructions, how to construct a triangle, division of the line segment are given here. Go through once to understand the constructions of different geometrical shapes.

Construction Definition

Construction in Geometry is related to drawing shapes, angles or lines accurately. These geometric constructions are carried out with the help of a compass, a ruler, and a pencil.

Division of a Line Segment

Construction For Class 10
Construction For Class 10
Construction For Class 10

Construction of a Triangle Similar to a Given Triangle as per a Given Scale Factor

First, it is important to know what is the scale factor. The scale factor is nothing but the ratio of the sides of a triangle that is to be constructed with the corresponding sides of any given triangle. It should be noted that constructing triangles from another triangle can be of two types i.e. either the constructed triangle will be larger than the given triangle or vice versa. An example question from NCERT book is given below for better understanding.

Construction For Class 10

Construction of Tangents to a Circle

We already know that if a point lies inside a circle, there cannot be a tangent to the circle through this point. However, if a point lies on the circle, then there is only one tangent to the circle at this point and it is perpendicular to the radius through this point. If a point lies outside the circle, there will be two tangents to the circle from this point.

Construction For Class 10

 

Practice Questions

  1. Draw a line of 8.6 segments and divide that into 3:4 ratio. Also, measure the length of each line segment.
  2. Construct a triangle whose sides are 2/3rd of the corresponding sides of another triangle having sides as 4 cm, 5 cm, and 6 cm.
  3. Draw two tangents inclined to each other at an angle of 45 degrees to a circle having a radius of 4 cm.

Access CBSE Class 10 Maths Sample Papers Here.

Access NCERT Class 10 Maths Book Here.

Related Topics

With this CBSE class 10 construction notes, students can easily learn the main topics easily and can revise more efficiently. For more assistance for the class 10 board exams, keep visiting BYJU’S.

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