Question

1. Suppose D has a coordinate of 11 and DE = 5. What are the possible
midpoints of DE?

Answer 1

The possible midpoints are (5.5,8) and (5.5,3)

Explanation:

Given

`D = 11`

`DE = 5`

Required

Determine the midpoint of DE

First, we need to determine the coordinates of E

If E is to the right of DE;

`E - D = 5`

`E - 11 = 5`

`E = 11 + 5`

`E = 16`

Hence, the coordinate is (11,16)

`Midpoint = (1)/(2) * (11,16)`

`Midpoint = (5.5,8)`

Else:

`D - E = 5`

`11 - E = 5`

`E = 11 - 5`

`E = 6`

Hence, the coordinate is (11,6)

`Midpoint = (1)/(2) * (11,6)`

`Midpoint = (5.5,3)`

The possible midpoints are (5.5,8) and (5.5,3)