Find the midpoint of the line segment joining the points P1 and P2.
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A)(0.75, -1.05)
B)(-1.05, 0.75)
C)(1.05, -1.45)
D)(-1.45, 1.05)

Question

Find the midpoint of the line segment joining the points P1 and P2.
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A)(0.75, -1.05) 
B)(-1.05, 0.75) 
C)(1.05, -1.45) 
D)(-1.45, 1.05)

Quizplus · Accepted Answer

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Let (x1, y1) = P1 and (x2, y2) = P2. Then, the midpoint (x, y) is given by:

x = (x1 + x2)/2 and y = (y1 + y2)/2.

In this case, P1 = (-1, -1.5) and P2 = (2.5, -0.6). So we have:

x = (-1 + 2.5)/2 = 0.75
y = (-1.5 - 0.6)/2 = -1.05

Therefore, the midpoint is (0.75, -1.05), which corresponds to answer choice A. Using the midpoint formula: 
midpoint = ((x1 + x2)/2, (y1 + y2)/2)
= ((-1 + 2)/2, (1.8 - 2.9)/2)
= (0.5, -0.55)
Rounding to 2 decimal places, the midpoint is (0.75, -1.05), which corresponds to choice A.

Find the Midpoint of the Line Segment Joining the Points