Question

Plot the ordered pairs below on the coordinate plane and connect them in the order given. Connect the last point to the first point A.(3, 7) B(−8, 7) C(−8, −1) D(3, −1)

What is the name of the quadrilateral formed?
a) Square
b) Rectangle
c) Trapezoid
d) Parallelogram

Answer 1

The quadrilateral formed by connecting the ordered pairs (3, 7), (-8, 7), (-8, -1), and (3, -1) is a rectangle because opposite sides are equal in length and parallel.

Step-by-step explanation:

To plot the ordered pairs (3, 7), (-8, 7), (-8, -1), and (3, -1) on the coordinate plane, you will follow these steps:

1. Start by plotting point A at (3, 7). This is 3 units to the right of the origin and 7 units up.
2. Plot point B at (-8, 7), which is 8 units to the left of the origin and 7 units up.
3. Move to point C at (-8, -1), which is 8 units to the left of the origin and 1 unit down.
4. Finally, plot point D at (3, -1), which is 3 units to the right of the origin and 1 unit down.
5. Connect the points in the order given (A to B, B to C, C to D, and D to A) to form a closed shape.

When you connect these points, you'll see that opposite sides are equal in length and parallel. Side AB is parallel to side CD, and side BC is parallel to side AD. Also, both pairs of opposite sides are equal in length, making this quadrilateral a rectangle. Therefore, the name of the quadrilateral formed is a rectangle (option b).