Question

the coordinates of three vertices of a rectangle are (-2,1), (4,1), and (4,-3). what are the coordinates of the fourth vertex?
a. (2,-3)
b. (-2,3)
c. (2,3)
d. (-2,-3)

Explanation:

Step1: Analyze x - coordinates

In a rectangle, opposite sides are parallel. The x - coordinates of two opposite vertices are the same. The given x - coordinates are - 2 and 4. Since two vertices have x = 4, the fourth vertex should have x=-2.

Step2: Analyze y - coordinates

The given y - coordinates are 1 and - 3. Since two vertices have y = 1, the fourth vertex should have y=-3.

Answer:

D. (-2, -3)