Question

Geometry math question please help

Answer 1

The diagonal AC, by definition, connects points A and C.

We know that A has coordinates (4,3), and the midpoint M has coordinates (2,5). Let's call the unknown coordinates of C = (x,y)

Since the coordinates of the midpoint are the average of the coordinates of the endpoint, you have

`2 = \cfrac{4+x}{2} \implies 4 = 4+x \implies x = 0`

`5 = \cfrac{3+y}{2} \implies 10 = 3+y \implies y = 7`

Answer 2

The coordinates of point A are (4,3) and for the midpoint of diagonal AC are (2,5).
x1-x2 = 4-2 = 2
y1-y2 = 5-3 = 2
This means that point C is 2 to the left and 2 ups which makes it to (0,7).
Therefore the answer is C (0,7).