Question

Draw AB of length 6.5cm and find its axis of symmetry.​

Answer 1

Step-by-step explanation:

Let's first draw a line segment of length 6.5cm

We follow these steps

1. Draw a line L mark point A on it.
2. Since length is 6.5cm, we measure 6.5cm using ruler and compass
3. Now keeping compass opened the same length we keep pointed and at point A, and draw an arc on line l

So, the required line segment is AB = 7.3cm

( see fig. 1)

Now, we need to find its axis of symmetry

That is, we need to make its perpendicular bisector

Let's follow these steps to make perpendicular bisector of AB

1. Given a line segment AB.
2. Now with A as center, and radius more than half AB, draw an arc on top and bottom of AB
3. Now with B as center, and same radius,draw an arc on top and bottom of AB
4. Where the two arcs intersect above AB is point C and where the two arcs intersect below AB is point DJoin CD

CD is the perpendicular bisector of AB

CD is the perpendicular bisector of AB So, CD is the line of symmetry of line segment AB