Question

Find the center of the circle that can be circumscribed about the triangle.

A - (0, 0)
B - (0, 1)
C - (-1, 3)
D - (2, 0)

Answer 1

A. (0, 0)

Explanation:

To find the center of the circle that can be circumscribed about the given triangle, find the triangle's circumcenter.

A circumcenter of a triangle is:

• The center of a circle that passes through each vertex of a triangle.
• The point at which the perpendicular bisectors of the sides of the triangle intersect.

A perpendicular bisector is a line that divides another line segment into two equal parts at a right angle.

Add perpendicular bisectors to the sides of the triangle (shown in green on the attached diagram).

The point of intersection of the perpendicular bisectors is (0, 0).

Therefore, the center of the circle that can be circumscribed about the triangle is (0, 0).