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

Responses

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.

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, 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.

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.
Image with alt text: 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.
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1 answer

A circle circumscribed about a triangle is one that passes through all three vertices of the triangle. The correct diagram would show a triangle with a circle encompassing it, with the triangle's vertices lying on the circumference of the circle.

Based on your descriptions, the fourth option:

"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."

is the best representation of a circumscribed circle. The circumcenter is the center of the circumscribed circle that passes through the vertices of the triangle.