Try to find all possible coordinates of the points T and R.
6, -6, 1, and - 1
Practice makes perfect
Let's use the given information about the points on the number line to create a diagram so that it is easier to visualize the midpoint. Because we only know the lengths of AR and AT, not the specific locations of R and T, let's consider all possibilities for their locations.
Now, to find the possible midpoints, let's consider the different locations of R one at a time. Then, we will find the halfway points between them and either T_1 or T_2.
R_1
Think about the distance between R_1 and either T_1 or T_2.
Now, let's find the midpoints of those segments.
R_2
Think about the distance between R_2 and either T_1 or T_2.
Now, let's find the midpoints of those segments.
Conclusion
Finally, we can draw all midpoints on one number line.
The four possible midpoints are 6, -6, 1, and - 1.
