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

Answer:

(4,4)

Step-by-step 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;

$(\frac{a+-3}{2},\frac{b+1}{2})=(0.5,2.5)$

Then:

$\frac{a-3}{2}=0.5$  and $(\frac{b+1}{2}=2.5$

$\implies a-3=1$  and $b+1=5$

$\implies a=1+3$  and $b=5-1$

$\implies a=4$  and $b=4$

Therefore C has coordinates: (4,4)