Answer the following
1. In the given figure ABCD is a parallelogram AE ⊥ DC and CF ⊥ AD. If AB = 18 cm, AE = 8 cm and CF = 16 cm, find AD.
2. In the below figure AD is the median, and E is mid-point on AD. If the area of triangle is 16 cm2, what is the area of the triangle BED
3. Two parallelograms are on the same base and between the same parellels. The ratio of their areas is:
a) 1:2
b) 1:1
c) 1:4
d) None of these
4. Show that a median of a triangle divides it into two triangle of equal area.
5. Point P and Q are on the sides DC and AD of a parallelogram respectively. Show that
6. If E, F, G & H are mid points of sides of parallelogram ABCD, then show that
7. In given figure ABCD is a quadrilateral and BE||AC is such that BE meets at E on the extended CD. Show that area of triangle ADE is equal to the area of quadrilateral ABCD.
8. ABCD is a trapezium in which AB||CD and diagonals AC and BD intersect at 0. Prove that
9. Parallelogram ABCD and rectangle ABEF are on the same base and have equal areas. Show that perimeter of the parallelogram is greater than that of rectangle.
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