Answer:
The length of side AC = 4 units
Option C is correct.
Explanation:
Complete Question
What is the length of side AC as shown on the coordinate plane? On a coordinate plane, a rectangle has 4 points. Point A is (negative 2, 1), point B is (4, 1), point C is (negative 2, negative 3), and point D is (4, negative 3).
1 units
2 units
4 units
6 units
Solution
Point A = (-2, 1)
Point C = (-2, -3)
Length AC is the distance between the points A and C.
The distance between two points (x₁, y₁) and (x₂, y₂) on a coordinate plane is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
The distance between point A (-2, 1) and point C (-2, -3) is then given as
AC = √[(-2 - (-2))² + (-3 - 1)²]
AC = √(0 + 4²]
AC = √16 = 4 units.
Hope this Helps!!!