Chapter Test
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To find the circumcenter, we need equations for the perpendicular bisectors of two sides of the triangle.
(0.5,-4.5)
Let's start by graphing the triangle using the given coordinates.
By the Slopes of Perpendicular Lines Theorem, we know that horizontal and vertical lines are perpendicular. Since AB is horizontal, any perpendicular line will be vertical. Similarly, since AC is vertical, any perpendicular line will be horizontal. Examining the diagram, we can also identify the midpoints of these sides.
Given the information, we know that the perpendicular bisectors through AB and AC have the equations x=0.5 and y=-4.5, respectively.
The triangle's circumcenter is the point at which the perpendicular bisectors intersect.
The circumcenter is located at (0.5,-4.5).