In the figure, ABCD is a trapezium, AB and DC are parallel lines. P is the midpoint of AD. If PQ is parallel to AB, prove thatQ is the midpoint of BC.

AB and CD are parallel lines in the picture. Prove that AP .PC=BP. PD

In the figure ABCD is a rectangle. AB= 6 cm, BC=4 cm . P is the midpoint of CD. a) What is the area of triangle APB? b) What is the area of triangle PAD? c) If AQ: Q B=1: 2, then what is the area of the quadrilateral AQPD?

In trapezium ABCD, CD is parallel to AB. E and F are points on the non parallel sides. If EF is parallel to AB, then prove thatAE/ED=BF/FC

In the figure ABCD iś a parallelogram. dotP, Q, R and S are the midpoint of the sides of the parallelogram. Prove that P Q=R S and Q R=P S .

In the figure below, A C and B E are parallel lines. Are the lengths of BC and DE equal? Why? Are BC.and DE parallel? Why?

Without drawing coordinate axes mention the positions of 'A(2,1), B(6,1), C(6,5)' as left-right, above-below. Draw coordinate axes, mark the points and complete triangle 'ABC' Which side of the triangle is parallel to 'x' axis . Which side is parallel to 'y' axis Write the coordinates of the midpoint of AB. Write the coordinates of the midpoint of BC. Write the coordinates of the midpoint of AC.

In the quadrilateral ABCD,AB and CD are parallel. angleA+angleC=190^o If AD=BC , then prove that a circle an be drawn through the points A,B,C and D. .