Which of the following diagrams shows a circle circumscribed about a triangle?(1 point)

Responses

A dotted circle, a triangle, and three lines are plotted within a grid of 6 rows by 5 columns. A right triangle with vertices upper A, upper B, and upper C is plotted. A point upper D is plotted within the triangle, which is the center of the circle.
Image with alt text: A dotted circle, a triangle, and three lines are plotted within a grid of 6 rows by 5 columns. A right triangle with vertices upper A, upper B, and upper C is plotted. A point upper D is plotted within the triangle, which is the center of the circle.

A dotted circle, a triangle, and three lines are plotted within a grid of 5 rows by 5 columns. A right triangle with vertices upper A, upper B, and upper C is plotted. A point upper G is plotted within the triangle, which is the center of a circle.
Image with alt text: A dotted circle, a triangle, and three lines are plotted within a grid of 5 rows by 5 columns. A right triangle with vertices upper A, upper B, and upper C is plotted. A point upper G is plotted within the triangle, which is the center of a circle.

A dotted circle and a triangle are plotted within a 6 by 6 grid. The midpoint of the grid is marked as upper A.
Image with alt text: A dotted circle and a triangle are plotted within a 6 by 6 grid. The midpoint of the grid is marked as upper A.

Triangle upper A upper C upper B is plotted within a circle on a 12 by 9 unit grid. A point inside the triangle is labeled circumcenter.

1 answer

The correct option that shows a circle circumscribed about a triangle is the one where the triangle \( \triangle ABC \) is plotted within a circle, with a point labeled as the circumcenter. In a diagram showing a circumscribed circle, the triangle's vertices should touch the circle, and the circumcenter should be the point at which the perpendicular bisectors of the triangle's sides intersect.

Based on your descriptions, the fourth option (the one that mentions "Triangle upper A upper C upper B is plotted within a circle on a 12 by 9 unit grid. A point inside the triangle is labeled circumcenter.") seems to correctly depict a circle circumscribed about a triangle.