Constructions Class 10th Notes - Free NCERT Class 10 Maths Chapter 11 Notes - Download PDF

Construction Maths chapter of 10 Class is an important topic dealing with the construction of some of the important geometries. Construction Class 10 notes help students to get a thorough understanding of the geometries and their construction. CBSE Class 10 Maths chapter 11 notes have given step-by-step solutions for constructing some of the geometries. Class 10 Maths chapter 11 notes will guide students in these topics and score high marks in the Board examination. NCERT Class 10 Maths chapter 11 notes will provide students with a quick revision.

Also, refer- NCERT Exemplar Solutions for Class 10 Maths Chapter Construction

NCERT Notes for Class 10 Maths Chapter 11; Topic 1

Construction of line segment

• A point is dividing a given line segment by the given ratio M: N

• By dividing a line segment of length X cm by the ratio M: N.

NCERT Notes for Class 10 Maths Chapter 11; Topic 2

Steps

• The first step is to draw the line segment with the length X cm which is named AB.

• At the end of B construct an acute angle BAX.

• Then locate the five points (m+n) points. That is AA₁=A₁A₂=A₂A₃=A₃A₄=A₄A₅

• Join BA₅ (A_(m+n)=A₅).

• Passing through point A₃, draw a line parallel to the BA₅ at A₃ intersecting AB at point C. Then the ratio AC:CB=3:2.

NCERT Notes For Class 10 Maths Chapter 11; Topic 3

Constructing Similar Triangle

Construct a triangle in which the sides of it are 3/4 times the corresponding sides of the triangle which is given.

• As the first step draw a ray BX and make an acute angle with the side BC.

• Then mark 4 consecutive distances in the BX.

• Join B₄C.

• A line passing through the C’ and parallel to B₄C and to intersect BC is drawn.

• A line passing through C’ and parallel to AC to intersect AB at A’ is drawn.

Similar triangle

Two cases to be considered while constructing a similar triangle.

1. The triangle to be constructed must be smaller than the one triangle which is provided. Also, the scale factor must be less than one.

2. And the scale factor should be greater than one if the triangle to be constructed is larger than the given triangle.

NCERT Notes for Class 10 Maths Chapter 11; Topic 4

Tangents to circle

A circle is a set of points and to all those points there is a tangent passing through it.

NCERT Notes for Class 10 Maths Chapter 11; Topic 5

Construction of Tangent When the Center of the Circle is Known

Steps

• As the first step draw the circle by showing the center point.

• Choose some extent P on the circle.

• Joint with the center O that is OP.

• Then construct the right angle and mark point T.

• Extend it to T’ thus TPT’ is formed and is the tangent.

NCERT Notes for Class 10 Maths Chapter 11; Topic 6

Construction of a Tangent When the Center is Not Given

Steps

• Draw a circle.

• To the external point, P joins the center.

• To intersect at Q draw a bisector.

• Draw a circle by taking Q as the center and OQ=PQ and it will intersect at T and T’.

• PT and PT’ joined to get the tangent.

Significance of NCERT Notes for Class 10 Maths Chapter 11

NCERT notes for Class 10 Maths chapter 11 focuses on the construction of some of the very important geometries. Notes for Class 10 Maths chapter 11 includes the construction of tangents of a circle with and without a center, construction of similar triangles, and construction of line segments. Class 10 Maths chapter 11 notes pdf download will help students to study this topic in the offline mode and also to score high marks in the Board examination. Construction Class 10 notes also provide some of the key points while constructing any geometry.

Class 10 Chapter Wise Notes

NCERT Solutions of Cass 10 Subject Wise

• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science

NCERT Class 10 Exemplar Solutions for Other Subjects:

• NCERT Exemplar Class 10 Maths solutions
• NCERT Exemplar Class 10 Science solutions