Question

directions: use this information to answer parts a and b. use a pencil and paper to inscribe acute, right, and obtuse triangles in a circle. you will use these constructions to make observations about the center of the circles. part a make a statement about the location of the center of the circle in relation to the triangle. drag the words into the boxes to form a correct response. for an acute triangle, the center of the circle will be the triangle. for a right triangle, the center of the circle will be the triangle. for an obtuse triangle, the center of the circle will be the triangle. on the leg of inside on the hypotenuse of outside show hints

Explanation:

For an acute - angled triangle, the circum - center (center of the circum - circle) lies inside the triangle. For a right - angled triangle, the circum - center lies on the hypotenuse. For an obtuse - angled triangle, the circum - center lies outside the triangle.

Answer:

For an acute triangle, the center of the circle will be inside the triangle. For a right triangle, the center of the circle will be on the hypotenuse of the triangle. For an obtuse triangle, the center of the circle will be outside the triangle.