Question

Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).

Answer 1

• (25, 9)

Explanation:

Given

• Point (5, -7) and midpoint (15, 1)

To find

• Missing endpoint

Solution

Midpoint formula:

• x = (x1 + x2)/2,
• y = (y1 + y2)/2

Substituting values:

• 15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 25
• 1 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9

Missing endpoint is:

• (25, 9)