Find the midpoint of PQ with bar.
A coordinate system has horizontal axis y and vertical axis x.
• The y axis is labeled at, from top to bottom, 10, 5, negative 5, and negative 10.
• The X axis is labeled at, from left to right negative 10, negative 5, 5, and 10.
• Points: P at left parenthesis negative 2 comma 8 right parenthesis and Q at left parenthesis 8 comma negative 4 right parenthesis.
A. (3, 2)
B. (3, 3)
C. (2, 2)
D. (2, 3)
3 / 47
C. (2, 2)
To find the midpoint of PQ, you can use the midpoint formula, which states that the coordinates of the midpoint of two points (x1, y1) and (x2, y2) are given by:
Midpoint coordinates = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the points P and Q have coordinates P(-2, 8) and Q(8, -4) respectively.
Now, let's calculate the midpoint coordinates:
x1 = -2, x2 = 8
y1 = 8, y2 = -4
Midpoint coordinates = ((-2 + 8) / 2, (8 + (-4)) / 2)
Midpoint coordinates = (6 / 2, 4 / 2)
Midpoint coordinates = (3, 2)
Therefore, the midpoint of PQ is (3, 2).
Hence, the correct answer is A. (3, 2).
To find the midpoint of PQ, follow these steps:
1. Identify the coordinates of point P: (-2, 8).
2. Identify the coordinates of point Q: (8, -4).
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of P and Q into the formula:
Midpoint = ((-2 + 8) / 2, (8 + (-4)) / 2)
Simplifying,
Midpoint = (6 / 2, 4 / 2)
Midpoint = (3, 2)
Therefore, the midpoint of PQ is (3, 2).
So, the correct answer is A. (3, 2).