Answer:
The point C is (-1 , -2) and point D is (1 , -2)
Step-by-step explanation:
* Lets study the information in the problem
- ABCD is a rectangle
# AB = CD , BC = AD
# m∠A = m∠B = m∠C = m∠D = 90°
- Point A is (1 , 3)
- Point B is (-1 , 3)
* That means AB is a horizontal segment because A and B have
the same y-coordinates
- The length of AB = 1 - -1 = 2
- The area of the rectangle is 10 units²
∵ The area of the rectangle = L × w
∵ AB is the width and = 2 units
∴ L = 10 ÷ 2 = 5 units
- Point C lies vertically below point B by 5 units
- Point C has the same x-coordinate of point B
∴ Point C is (-1 , 3 - 5) = (-1 , -2)
- Point D lies vertically below point A by 5 units
- Point D has the same x-coordinate of point A
∴ Point C is (1 , 3 - 5) = (1 , -2)
* The point C is (-1 , -2) and point D is (1 , -2)
