Question

PQ has a midpoint at M(1,8). Point Q is at (0, 9). Find the coordinates of point P. Write the coordinates as decimals or integers.

A) P = (2, 7)

B) P = (1, 8)

C) P = (0, 9)

D) P = (3, 6)

Answer 1

To find the coordinates of point P, we can use the midpoint formula. Given that point Q is at (0,9) and the midpoint is at M(1,8), the coordinates of point P are (2,7).

Step-by-step explanation:

To find the coordinates of point P, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Given that point Q is at (0,9) and the midpoint is at M(1,8), we can determine the coordinates of point P. Since the x-coordinate of the midpoint is 1, we can subtract the x-coordinate of point Q (0) from 2 times the x-coordinate of the midpoint (1) to find the x-coordinate of point P. Similarly, since the y-coordinate of the midpoint is 8, we can subtract the y-coordinate of point Q (9) from 2 times the y-coordinate of the midpoint (8) to find the y-coordinate of point P.

Calculating the coordinates of point P, we get P = (2,7).