draw the figure.
find the diagonal.
get the endpoints of the diagonal.
solve for the length of the diagonal using the length formula.
your 4 points are:
A (-2,3) B (-2,9) C ( 5,9) D ( 5,3)
Looks like A will be directly below B because they both have the same x coordinate.
Looks like C will be directly to the right of A because they both have the same y coordinate.
Looks like D will be directly below C because they both have the same x coordinate.
Looks like D will be directly to the right of A because they both have the same y coordinate.
I would guess you have a rectangle.
It will have 2 diagonals.
They will be from A to C and from B to D.
Since this is a rectangle, they should both have the same length because the diagonals of a rectangle are equal in length to each other.
First we'll solve for the length of AC and then we'll solve for the length of BD.
AC extends from point A to point C.
Those points are:
point x value y value A -2 3 C 5 9
BD extends from point B to point D.
Those points are:
point x value y value B -2 9 D 5 3
The formula for length of a line is:
length of a line equals
Substitute the points for A and C in the formula and you will get a length of
Substitute the points for B and D in the formula and you will get a length of
Their length are the same, as they should be if we are looking at a rectangle.
Based on the points, I believe we are.
A picture of what this object would look like is shown below.
