Question

On a number line, suppose the coordinate of A is 0 and AR=3. What are possible coordinates of the midpoint of AR?

Answer 1

Answer:

1.5 and -1.5

Step-by-step explanation:

The coordinate of A is 0. It is given that AR = 3. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.

• Point R is on Right side of A i.e. at coordinate 3
• Point R is on Left side of A i.e. at coordinate -3

In both of these cases AR which is the distance from A to R will be 3.

So, if R is on Right side of A, the midpoint of AR would be:

$\frac{0+3}{2}=\frac{3}{2}=1.5$

Or if R is on Left side of A, the midpoint of AR would be:

$\frac{0+(-3)}{2}=\frac{0-3}{2}=-\frac{3}{2}=-1.5$

Thus, the possible coordinates of the midpoint of AR are 1.5 and -1.5