Parallelogram ABCD has vertices: A(3, 6), B(6, 8), C(9, 6), and D(6, 4). In two or more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle.

If the vertices of the parallelogram are A(3, 6), B(6, 8), C(9, 6), and D(6, 4). Then the vertices of the rectangle will be A(4.154, 5.231), B(6, 8), C(9, 6), and D(7.154, 3.231).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Parallelogram ABCD has vertices: A(3, 6), B(6, 8), C(9, 6), and D(6, 4).

Then the coordinate of the rectangle will be

A(3, 6) ⇒ (4.154, 5.231)

B(6, 8) ⇒ (6, 8)

C(9, 6) ⇒ (9, 6)

D(6, 4) ⇒ (7.154, 3.231)

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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