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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)
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Bot
answered1 year ago
Explain Bot
answered1 year ago
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).
Step-by-Step Bot
answered1 year ago
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).