Question

The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle.

A coordinate plane with the following points A at negative 3, 3; B at negative 3, negative 2; and C at 4, negative 2.

(4, 3), 35 units squared
(4, 3), 24 units squared
(3, 4), 35 units squared
(3, 4), 24 units squared

Answer 1

a

Explanation:

Answer 2

The coordinates of the three vertices of a rectangle are :

A(-3,3) , b(-3,-2) and c(4,-2)

The easy way to find the fourth vertex by the graphing the given points

See the attached figure

the given points are in blue color

and by using the symmetry of the rectangle

So, the coordinates of the fourth point D is (4,3) which are in red color

The base of the rectangle is the distance BC

From the graph ⇒⇒ BC = 7

The height of the rectangle is the distance AB

From the graph ⇒⇒ AB = 5

The area of the rectangle = base * height = 7 * 5 = 35

So, the correct answer is option A(4, 3), 35 units squared

Explanation: