Midpoint Formula
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SAT Math › Midpoint Formula
A line segment has endpoints (0,4) and (5,6). What are the coordinates of the midpoint?
(0,4)
(0,6)
(2.5,-5)
(2.5,5)
(3,9)
Explanation
A line segment has endpoints (0,4) and (5,6). To find the midpoint, use the midpoint formula:
X: (x1+x2)/2 = (0+5)/2 = 2.5
Y: (y1+y2)/2 = (4+6)/2 = 5
The coordinates of the midpoint are (2.5,5).
A line segment has endpoints (0,4) and (5,6). What are the coordinates of the midpoint?
(0,4)
(0,6)
(2.5,-5)
(2.5,5)
(3,9)
Explanation
A line segment has endpoints (0,4) and (5,6). To find the midpoint, use the midpoint formula:
X: (x1+x2)/2 = (0+5)/2 = 2.5
Y: (y1+y2)/2 = (4+6)/2 = 5
The coordinates of the midpoint are (2.5,5).
Line segment AB has an endpoint, A, located at 
The second endpoint cannot exist
Explanation
With an endpoint A located at (10,-1), and a midpoint at (10,0), we want to add the length from A to the midpoint onto the other side of the segment to find point B. The total length of the segment must be twice the distance from A to the midpoint.
A is located exactly one unit below the midpoint along the y-axis, for a total displacement of (0,1). To find point B, we add (10+0, 0+1), and get the coordinates for B: (10,1).
Line segment AB has an endpoint, A, located at
The second endpoint cannot exist
Explanation
With an endpoint A located at (10,-1), and a midpoint at (10,0), we want to add the length from A to the midpoint onto the other side of the segment to find point B. The total length of the segment must be twice the distance from A to the midpoint.
A is located exactly one unit below the midpoint along the y-axis, for a total displacement of (0,1). To find point B, we add (10+0, 0+1), and get the coordinates for B: (10,1).
Find the midpoint between (-3,7) and (5,-9)
(1,-1)
(4,-1)
(1,-8)
(-1,-1)
(4,-8)
Explanation
You can find the midpoint of each coordinate by averaging them. In other words, add the two x coordinates together and divide by 2 and add the two y coordinates together and divide by 2.
x-midpoint = (-3 + 5)/2 = 2/2 = 1
y-midpoint = (7 + -9)/2 = -2/2 = -1
(1,-1)
Find the midpoint between (-3,7) and (5,-9)
(1,-1)
(4,-1)
(1,-8)
(-1,-1)
(4,-8)
Explanation
You can find the midpoint of each coordinate by averaging them. In other words, add the two x coordinates together and divide by 2 and add the two y coordinates together and divide by 2.
x-midpoint = (-3 + 5)/2 = 2/2 = 1
y-midpoint = (7 + -9)/2 = -2/2 = -1
(1,-1)
Find the coordinates for the midpoint of the line segment that spans from (1, 1) to (11, 11).
(5, 6)
(6, 5)
(5, 5)
(6, 6)
(7, 7)
Explanation
The correct answer is (6, 6). The midpoint formula is ((x1 + x2)/2),((y1 + y2)/2) So 1 + 11 = 12, and 12/2 = 6 for both the x and y coordinates.
Find the coordinates for the midpoint of the line segment that spans from (1, 1) to (11, 11).
(5, 6)
(6, 5)
(5, 5)
(6, 6)
(7, 7)
Explanation
The correct answer is (6, 6). The midpoint formula is ((x1 + x2)/2),((y1 + y2)/2) So 1 + 11 = 12, and 12/2 = 6 for both the x and y coordinates.
What is the midpoint of 
Explanation
The midpoint is simply the point halfway between the x-coordinates and halfway between the y-coordinates:
Sum the x-coordinates and divide by 2:
Sum the y-coordinates and divide by 2:
Therefore the midpoint is (5.5, 6.5).
What is the midpoint of
Explanation
The midpoint is simply the point halfway between the x-coordinates and halfway between the y-coordinates:
Sum the x-coordinates and divide by 2:
Sum the y-coordinates and divide by 2:
Therefore the midpoint is (5.5, 6.5).