Suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?
A.-2 &8
B. 2 & 6
C.-2 & 6
D.-2
To find the midpoint of a line segment, you can use the midpoint formula, which states that the midpoint coordinates can be calculated by taking the average of the corresponding coordinates of the two endpoints. In this case, the coordinates of point P are given as (2, ?), and the coordinates of point Q are not provided.
Since only the x-coordinate of point P is given as 2, we can assume that the y-coordinate of point P can be any value. Therefore, we cannot determine the exact coordinates of point P.
However, we can still calculate the possible midpoints of line segment PQ by considering all possible y-coordinate values of point P.
Let's consider the possible options:
A. (-2, 8)
B. (2, 6)
C. (-2, 6)
D. (-2)
To calculate the midpoint of PQ for each option, we need to find the average of the x-coordinates and the average of the y-coordinates.
For option A: The average of the x-coordinates is (2 + (-2))/2 = 0, and the average of the y-coordinates is (8 + ?)/2, which cannot be determined.
For option B: The average of the x-coordinates is (2 + 2)/2 = 2, and the average of the y-coordinates is (6 + ?)/2, which cannot be determined.
For option C: The average of the x-coordinates is (2 + (-2))/2 = 0, and the average of the y-coordinates is (6 + ?)/2, which cannot be determined.
For option D: The x-coordinate is given as -2, and the y-coordinate is not determined. Therefore, we cannot determine the midpoint.
In conclusion, based on the information provided, we cannot determine the possible midpoint coordinates for line segment PQ.