In the adjacent figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC||PR. Show that BC || QR.

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides AD and BC respectively, such that EF || AB. Show that (AE)/(ED)=(BF)/(FC) .

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)

In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

In triangle Delta PQR , E and F are points on the sides PQ and PR respectively. State whether EF ||QR or not? (iii) PQ = 1.28 cm PR = 2.56 cm PE = 0.18 cm and PF = 0.36 cm

If A,B,C are points (-1,1),(1,3) and (3,a) respectively and if AB=Bc, then find 'a'.

In triangle Delta PQR , E and F are points on the sides PQ and PR respectively. State whether EF ||QR or not? (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm.

Point D and E are the points on sides AB and AC such athat AB = 5.6 , AD = 1.4 , AC =7.2 and AE = 1.8 . Show that DE||BC.