Quadrilaterals

When the diagonals of a quadrilateral intersect at point such that , this condition is satisfied by a trapezium. This property is characteristic of a trapezium where the diagonals divide each other proportionally.

The correct option is (C): trapezium

To find the perimeter of the quadrilateral, we need to calculate the distance between each consecutive pair of points, and then sum the distances. 1. The distance between points A(-3, 1) and B(0, 5): 2. The distance between points B(0, 5) and C(4, 8): 3. The distance between points C(4, 8) and D(1, 4): 4. The distance between points D(1, 4) and A(-3, 1): Now, the perimeter is the sum of these distances:

The correct option is (C): 20