Revision Notes For CBSE Class 9 Math Chapter -11 Constructions

In geometry the term construction is mainly used for drawing different geometrical shapes like circle, triangle, square, rectangle, rhombus, parallelogram, etcaccurately using geometrical equipments including a ruler, pencil, compass and protractor. Each geometric shapes have their own construction steps and properties.

Here are the simple construction steps for drawing parallelogram ABCD.

Given: AB = 8 cm, BC = 9 cm and AC = 10 cm.

Step-1: With the help of a ruler and pencil, draw a straight line measuring AB =8 cm.

Step-2: Keeping C as midpoint, draw an arc BC = 9 cm.

Step-3: Now keeping A as center, draw an arc AC = 10 cm cutting the preceding arc at C.

Step-4: Connect AC and BC.

Step-5: Keeping C as middle and radius equal to 5 cm, draw an arc.

Step-6: With C as middle and radius equal to 10 cm, draw an arc cutting the previous arc at B.

Step-7: Now connect AD and CD.

Step-8: Here is the parallelogram ABCD.

CBSE Notes for Class 9 Maths Chapter 11 Constructions

For more information about the Constructions, click on the below-mentioned links.

Construction of Triangle Construction Of Quadrilaterals
Construction Of Special Angles Construction of Triangles, SAS

Frequently asked Questions on CBSE Class 9 Maths Notes Chapter 11: Construction


What is an ‘Angle Bisector’?

Angle bisector is the line or line segment that divides the angle into two equal parts.


What is the ‘Base angle theorem’?

The base angles theorem states that if the sides of a triangle are congruent (Isosceles triangle) then the angles opposite these sides are congruent.


What is a ‘Perpendicular theorem’?

A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point.


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