Q1) The diagonals of a parallelogram ABCD intersect at O. A line through O intersect AB at X and DC at Y. if AB = 13 cm, AD = 8 cm, and OX = 5 cm, find the length of OY.
Q2) The length and breadth of a rectangle is 8 cm and 15 cm. Find the radius of the circumcircle of this rectangle.
Q3) In a triangle ABC, AD is the median. F is the point on AC such that line BF bisects AD at E. If AD = 12 cm and AF = 5 cm, find the measure of AC.
Q4) In parallelogram ABCD, CD is smaller than BC as shown below:
(a) x = y
(b) y > x
© y < x
(d) cannot be determined from the given data
Q5) If two adjacent angles of a parallelogram are in ratio 4:2, then the measure of the angles are: ______.