Question

What are the coordinates of the circumcenter of a triangle with vertices A(−3,−4), B(1,−4), and C(−3,0)?

Answer 1

idk how to do this

Answer 2

You will need Perpendicular bisectors on two sides.

Answer 3

is it one of the points given?

Answer 4

@eliesaab

Answer 5

No, those are the vertices of the triangle. Use to pair to find the perpendicular bisector of the included side.

Example:

A (-3,-4) vs B (1,-4)

Slope of AB: (-4+4)/(1+3) = 0/4 = 0 -- Oh, this is a horizontal line.
Midpoint of AB: ((-3+1)/2,(-4-4)/2) = (-2/2,-8/2) = (-1,-4)

Slope of Perpendicular Bisector is "No Slope". It's a vertical line
Circumcenter is SOMEWHERE on the line x = -1.

You do the same thing with A vs C.

Note: Plot the points. See for yourself that using BC is going to be harder than using AC.

Answer 6

thank you

Answer 7

It's a little harder if you don't get horizontal or vertical lines. Same idea, though.

Answer 8

yeah