Question

Do a diagonal of trapezium divides it 8nto two traingles of equal area

Answer 1

Answer:

The answer is 'NO'.

The answer is very simple. A trapezium is a figure with two parallel and unequal sides and tow other non parallel sides. You can see in the picture below, what a trapezium exactly looks like.

Now, a diagonal is a line or line segment drawn from a point to the point on the opposite side and that too from one corner to the opposite corner, like AC and BD are diagonals.

in trapezium ABCD.

Now , you can easily see that the figure is undivided into two unequal parts.

NOTE : Such assumptions that diagonal divide into two equal parts are usually true for figures with equal sides, like a square, rhombus or a rectangle or even a parallelogram.