how to mentally find the coordinates of the midpoint of AD, given the endpoints A(4,-3) and D(-6,3).
average the x- and y-coordinates of the endpoints
If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?
To mentally find the coordinates of the midpoint of AD, you can follow these steps:
1. Write down the coordinates of points A and D.
A(4,-3) and D(-6,3)
2. Use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
3. Apply the formula by substituting the x and y coordinates of points A and D into the formula:
Midpoint = ((4 + (-6))/2, (-3 + 3)/2)
= (-2/2, 0/2)
= (-1, 0)
4. The coordinates of the midpoint of AD are (-1, 0).
So, the midpoint of AD is (-1, 0).
To mentally find the coordinates of the midpoint of AD, you can follow these steps:
Step 1: Write down the coordinates of points A and D.
A(4, -3)
D(-6, 3)
Step 2: Use the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of D) / 2
y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of D) / 2
Plugging in the values:
x-coordinate of the midpoint = (4 + (-6)) / 2 = -2/2 = -1
y-coordinate of the midpoint = (-3 + 3) / 2 = 0/2 = 0
Step 3: The coordinates of the midpoint are (-1, 0).
So, the midpoint of AD is (-1, 0).