Question

Point M is the midpoint of segment AB. If AB = 8cm then find the AM.

Answer 1

Hint: To find length of AM, where M is the midpoint of line segment AB. We first draw a line segment of given length and then find its mid-point by using different steps of construction and then using it to find the length of AM.

Complete step by step solution:
To find the length of AM. We first mind the midpoint of line segment AB. Which is as follows:

First we draw a line segment of length $ 8cm $ and name its end with initial A and B.

Now to find its midpoint. We open the compass with radius more than half of line AB and put two arcs on both sides of line AB by putting compass at initial A and then from initial B also.

Where these two arcs marked from initial A and initial B meet join them. Where that line meets line AB, name it as M.

Here, point M is the midpoint of line segment AB.
Now, with the help of the ruler, measure the length of AM.
It will be equal to $ 4cm. $
If length is not equal to $ 4cm. $ Then, there will be an error in finding the midpoint of line segment AB.

Note: To draw any construction student must use a sharp pencil and also use ruler and compass to draw different parts which are required for construction with writing or explaining steps of construction. And also more important construction should be done very neatly.