Question 1
Question: Prove that the area of a trapezium is half the product of its height and the sum of the parallel sides.
Answer: Given:
ABCD is a trapezium in which AB || DC.
Let AB = a, DC = b and CE = AF = h.
To prove:
Construction:
Join AC.
Proof:
AC is the diagonal of quad. ABCD.
area of addition axiom.
By adding (2) and (3), we get
Question 2
Question: Show that a median of a triangle divides it into two triangles of equal area.
Answer: Given:
In D ABC, AD is one of the medians of D ABC.
To prove:
Construction:
Draw AE ^ BC.
Proof:
Since BD = DC and h is the same for both the triangles.
Question 3
Question: 
Answer: To prove:
Construction:
Proof:
( given)
