You do not need to motivate your steps of the construction J

Given a point P, a line and a circle as shown, construct points Xand YX on and Yon the circle) such that P is the midpoint of segment XY Motivate your steps in the con- struction (that is, explain how you knew to take the major steps) and prove that your con- struction is correct.

Solution

Fisrt we construct a circle woth

Radius r and centre point

And also taken point on the circle

Next we draw a line outside the circle

And take a point on the line

Next we draw straight line to the two points

Now we can find the mid point

By using mid point formula or

By measuring