Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given

$D = 11$

$DE = 5$

Required

Determine the midpoint of DE

First, we need to determine the coordinates of E

If E is at the right of DE, then

$D - E = 5$

$11 - E = 5$

$E = 11 - 5$

$E = 6$

Hence,

(D,E) = (11,6)

Calculate Midpoint

$Midpoint = \frac{1}{2} * (11,6)$

$Midpoint = (5.5,3)$

Else:

$E - D = 5$

$E - 11 = 5$

$E = 11 + 5$

$E = 16$

Hence,

(D,E) = (11,16)

Calculate Midpoint

$Midpoint = \frac{1}{2} * (11,16)$

$Midpoint = (5.5,8)$

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