Mathematics Class VI

Knowing Our Numbers
Whole Numbers
Playing With Numbers
Basic Geometrical Ideas
Fractions
Integers
Decimals
Data Handling
Mensuration
Algebra
Ratio and Proportion
Practical Geometry
Symmetry

Construction of Angles using compass ruler

Angle is a stature formed by two rays. The two rays have a common endpoint which is called the vertex of the angle.

1. Construction of an angle with a given measure

Draw an angle of using a protector.

Step 1: Draw a line BA.

Step 2: Put the protector on the line in such a way that the centre of the protector lays on point B and the zero edge comes on the line segment BA.

Step 3: Start from and mark the point C at .

Step 4: Join BC.

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1. The bisector of an angle

An angle bisector is the line segment which divides a particular angle into two equal parts. It is also called the line of symmetry of the angle.

Construction of angle bisector (using a ruler and compass)

Draw the angle bisector of .

Step 1: Put the point on O and draw an arc of any radius so that it cut the rays at point A and B.

Step 2: Put the pointer on point A and draw an arc of the radius of more than half of AB.

Step 3: While taking B as the centre. We will draw an arc of the same radius so that it cut the previous arc at point C.

Step 4: Join OC. OC is the required angle bisector of .

Hence, .

1. Angles of special measures

There are some angles which we can construct accurately with the help of a compass without using a protector.

Construction of angle.

Step 1: Draw a line m and mark a point C on it.

Step 2: Take C as the centre and draw an arc of any radius to cut the line at point D.

Step 3: While taking D as the centre we need to draw an arc of the same radius to cut the previous arc.

Step 4: Join CE. .

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