Question

Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.

Answer 1

`(0.5,-4.5)`

Explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

`((4+-3)/(2),(-2+-7)/(2))`

`((1)/(2),(-9)/(2))`

or

`(0.5,-4.5)`