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 .

How many lines can be drawn which are perpendicular to a given line and pass through a given point lying (i) outside it? (ii) on it?

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

AD and BC are equal perpendiculars to a line segment AB. If AD and BC are on different sides of AB prove that CD bisects AB.

AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.

Draw a line segment AB = 5.2 cm. Draw a perpendicular to it from a point P outside line AB by using : (i) ruler and compasses (ii) ruleer and set square

Draw a line segment AB = 8 cm. Take points P and Q on it such that AP = 3 cm and AQ = 6cm. Through Q draw a perpendicular to AB using set squares. Through P draw a perpendicular to AB using compass.

Make a line segment AB = 10 cm. Take a point C on it such that AC = 6 cm. Draw a perpendicular to AB through the point C. Also, with the help of a compass draw angleACT = 30^@

In the figure, BX bisects angle ABC and intersects AC at point D. Line segment CY is perpendicular to AB and intersects BX at point P. If Y is mid-point of AB, prove that : point P is equidistant from A and B.