Question

Lanna plotted 3 vertacies of a square on a coordinate plane witch are the coordinates of the missing vertext of lanas square

Answer 1

See Explanation

Explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

Required

Find D

Let the coordinates of D be:

---------------------------------------------------------------------------------------------------------

Calculate the slope of each side.

AB, BC, CD and DA using:

AB:

--

--

So:

BC:

--

--

So:

CD:

--

--

So:

DA

--

--

AB and CD are parallel sides. So, they have the same slope

i.e.

Solve:

Make y the subject

---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

Solve:

Make y the subject

---- (2)

So, we have:

and

Equate both:

Collect like terms

Solve for x

Substitute
in

So, the missing coordinate is: