Objective : To construct a perpendicular to a line segment from as external point using paper folding. Procedure : Draw a line segment AB and mark an external point P. Move B along BA till the fold passes through P and crease it along that line. The crease thus formed is the perpendicular to AB through the external point P.

Objective : To construct a perpendicular bisector of a line segment using paper folding Procedure : Make a line segment on a paper by folding it and name it as PQ. Fold PQ in such a way that P falls on Q and thereby creating a creas RS. This line RS is the perpendicular bisector of PQ.

A straight line passes through a fixed point (6,8) : Find the locus of the foot of the perpendicular drawn to it from the origin O.

Objective : To find the mid - point of a line segment using paper folding Procedure : make a line segment on a paper by folding it and name it PQ. Fold the line segment PQ in such a way that P falls on Q and mark the point of intersection of the line segment and crease formed by folding the paper as M. M is the midpoint of PQ.

A straight line passes through a fixed point (6, 8). Find the locus of the foot of the perpendicular on it drawn from the origin is.

Objective : To locate the Orthocentre of a triangle using paper folding. Procedure : Using the above Activity with any two vertices of the triangle as external points, construct perpendiculars to opposite sides. The point of intersection of the perpendiculars is the Orthocentre of the given triangle.

AB is a line - segment. P and Q are points on either side of AB such that each of them is equidistant from the points A and B (See Fig ). Show that the line PQ is the perpendicular bisector of AB.

Draw a circle with centre A and radius 4 cm. Draw tangent segments PQ and PR from an external point P such that PQ=PR=3 cm. Find AP

Three straight lines mutually perpendicular to each other meet in a point P and one of them intersects the x-axis and another intersects the y-axis, while the third line passes through a fixed point(0,0,c) on the z-axis. Then the locus of P is

If P(a,b) is the mid point of a line segment between the axes, then:

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line - segment joining the points of contact at the centre.