Draw a line segment EF equal to a given line segment AB

Draw a perpendicular to a given line segment AB though a point P lying outside AB.

Draw a perpendicular to a given line segment though a point K on the line segment .

Draw a perpendicular to a given line segment though a point R on the line segment .

Draw a line segment of length 5.3cms

In parallelogram ABCD, E and F are mid-points of the sides AB and CD respectively. The lines segments AF and BF meet the line segments ED and EC at points G and H respectively. Prove that : GEHF is a parallelogram.

In parallelogram ABCD, E and F are mid-points of the sides AB and CD respectively. The lines segments AF and BF meet the line segments ED and EC at points G and H respectively. Prove that : triangle HEB and FHC are congruent.

AB is a given line segment with a point C on it . Draw a line segment perpendicular to AB at the point C.

The sides AB and AC are equal of an isosceles triangle ABC. D E and F are the mid-points of sides BC, CA and AB respectively. Prove that: (i) Line segment AD is perpedicular to line segment EF. (ii) Line segment AD bisects the line segment EF.

Draw a line segment LT. Take a point A above this line segment. Drop a perpendicular from the point A onto LT.

In the figure above, if line segment AB is parallel to line segment CD, what is the value of y?