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

Answer:

$(0.5,-4.5)$

Step-by-step 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;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

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

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

$(\frac{4+-3}{2},\frac{-2+-7}{2})$

$(\frac{1}{2},\frac{-9}{2})$

or

$(0.5,-4.5)$