Answer :
Answer:
A = (1,-5)
Step-by-step explanation:
Let the midpoint of the two points A (x₁, y₁) and B(-5, 5) be M(2, 0)
Using the formula for calculating the midpoints of two coordinates
(X₁, Y₁) = [tex](\frac{{x_1}+x_2}{2}, \frac{{y_1}+y_2}{2} )[/tex]
[tex]X_1 = \frac{{x_1}+x_2}{2}\\Y_1 =\frac{{y_1}+y_2}{2}[/tex]
Given if (X₁, Y₁) is the midpoint, then X₁ = 2, Y₁ = 0
x₂ = -5 and y₂ = 5
Substituting this given values into the equation above to get the unknown coordinate;
[tex]X_1 = \frac{{x_1}+x_2}{2}\\-2 = \frac{{x_1}-5\\}{2}\\-4 = x_1-5\\x_1=-4+5\\x_1 =1[/tex]
Similarly;
[tex]Y_1 = \frac{{y_1}+y_2}{2}\\0 = \frac{{y_1}+5\\}{2}\\0 = y_1+5\\y_1=0-5\\y_1 =-5[/tex]
The coordinate of A = (1,-5)