Question

three vertices of a rectangle are (9, 2), (-7, 2), and (-7, -8). graph the rectangle.

Explanation:

Step1: Find the missing vertex

In a rectangle, opposite sides are equal and vertices share matching x or y coordinates. The fourth vertex will have the x-coordinate of $(9, 2)$ and the y-coordinate of $(-7, -8)$, so it is $(9, -8)$.

Step2: Plot the missing vertex

Mark the point $(9, -8)$ on the coordinate grid.

Step3: Connect the vertices

Draw lines between $(9, 2)$ and $(9, -8)$, then between $(9, -8)$ and $(-7, -8)$ to complete the rectangle.

Answer:

The completed rectangle has vertices $(9, 2)$, $(-7, 2)$, $(-7, -8)$, and $(9, -8)$, with all sides connected to form a closed right-angle quadrilateral on the grid.