Bisection of a Line Segment

Bisection of a line segment

Step of construction

• Step 1: Draw a line segment AB of given length.
• Step 2: With centre A and radius more than half of AB draw arcs on each side of AB.
• Step 3: With centre B repeat step 2 to intersect previous arcs. Name them as E and F.
• Step 4: Now join E and F by a straight line.
• Step 5: Let the intersection point of AB and EF be M.M is the midpoint, so EF is bisector of AB.

Angles

Constructing an angle of a given measure

Suppose we want an angle of measure 40°.

Here are the steps to follow:

Bisector of an angle

Construction with ruler and compasses