Question

Determine what the type of quadrilateral has vertices A(-3, 3).B(3, 1), C(4, -3) and D(-2, -1) by finding the lengths and

slopes of the four sides.

Answer 1

By calculating the lengths and slopes of the sides of the quadrilateral with given vertices, one can determine the type of quadrilateral they form.

Step-by-step explanation:

The type of quadrilateral with vertices A(-3, 3), B(3, 1), C(4, -3), and D(-2, -1) can be determined by calculating the lengths and slopes of the four sides. First, the length of each side is found using the distance formula

`d = √(((x_2 - x_1)^2 + (y_2 - y_1)^2))`

The slope of each side is found using the formula slope
`= (y_2 - y_1) / (x_2 - x_1)`. Then the information about the lengths and slopes can be analyzed to determine the type of quadrilateral formed by these vertices.