l and m are two parallel lines intersected by another pair of parallel lines p and q . Show that `DeltaABC~= DeltaCDA`.

I and m are two parallel lines intersected by another pair of parallel lines p and show that triangle ABC = triangle CDA

Two magnetic lines intersect ? Why ?

l, m and n are three parallel lines intersected by the transversals p and q at A, B, C and D,E, F such that they make equal intercepts AB and BC on the transversal p. Show that the intercepts DE and EF on q are also equal.

l, m and n are three parallel lines intersected by transversals р and q such that l , m and n cut off equal intercepts AB and BC on p (see the given figure). Show that l, m and n cut off equal intercepts DE and EF on q also.

Two parallel lines l and m are intersected by a transversal p (see the given figure). Show that the quadrilateral formed by the bisector of interior angles is a rectangle.

A line intersecting a circle in two points is called a secant.

The number of parallelogrames that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD. Show that (i) DeltaAOB ~= DeltaDOC (ii) O is also the mid-point of BC.

In the given figure, altitudes AD and CE of DeltaABC intersect each other at the point P. Show that : DeltaAEP ~ DeltaCDP

In the given figure, altitudes AD and CE of DeltaABC intersect each other at the point P. Show that : DeltaABD ~ DeltaCBE