Question

Rectangle ABCD is shown. The midpoint of diagonal AC is located at (0.5,2.5).What are the coordinates of point C

Answer 1

(4,4)

Explanation:

Let us assume A has coordinates (-3,1)

We were given that the midpoint of AC is (0.5,2.5).

Let the coordinates of C be (a,b) then by the midpoint theorem;

`((a+-3)/(2),(b+1)/(2))=(0.5,2.5)`

Then:

`(a-3)/(2)=0.5` and
`((b+1)/(2)=2.5`

`\implies a-3=1` and
`b+1=5`

`\implies a=1+3` and
`b=5-1`

`\implies a=4` and
`b=4`

Therefore C has coordinates: (4,4)