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

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.

In a plane, if n number.of parallel lines intersect the P numbers of parallel' lines then how many parallelogram are formed?

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is a. 1/4m n(m-1)(n-1) b. 1/4m n(m-1) c. 1/4m^2n^2 d. none of these

If 10 parallel lines in a plane are intersected by a family of another 8 parallel lines how many parallelograms are there in the network thus formed ?

If n parallel straight lines in a plane are intersected by a family of m parallel lines , how many parallelograms are there in the network thus formed ?

If n parallel straight line in a plane are intersected by a family of m parallel lines, how many parallelograms are there in the network thus formed?

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

D is the mid-point of the side BC of the DeltaABC . The parallelogram CDEF lie between the same parallels CD and PQ, a parallel st. line of PQ through A. Prove that DeltaABC =parallelogram CDEF.

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.

D is the mid-point of the side BC of the DeltaABC and P is any point on BC. Let us join P, A. The line segment drawn through D, parallel to PA intersects AB at Q. Prove that DeltaBPQ=1/2DeltaABC .