QR has a midpoint at M(8,8). Point R is at (10, 10). Find the coordinates of point Q. Write the coordinates as decimals or integers.​

Point Q is at (6, 6).

Step-by-step explanation:

Segment QR has a midpoint M at (8, 8).

Point R is at (10, 10), and we want to determine the location of Point Q.

First, recall that the midpoint is given by the formula:

We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:

This gives us two cases:

Solve for each case. Multiply both sides by 2:

And we can subtract 10 from both sides:

Therefore, Point Q is at (6, 6).

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction