Question

What step is similar when constructing a circle inscribed in a triangle and a circle circumscribed about a triangle? a. Construct the angle bisectors of each angle in the triangle. b. Construct the perpendicular bisectors of each side of the triangle. c. Use the intersection of the bisectors to find the center of the circle. d. Use a compass to locate the intersection of the midpoint of each side.

Answer 1

$\boxed{{\text{Option c}}}$ is correct as to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle.

Further explanation:

To construct a circle inscribe in a triangle obtain the angle bisectors of all angles of the triangle.

The center of the circle is obtained from the intersection of the bisectors of angles.

To construct a circle circumscribe over a triangle obtain the perpendicular bisectors of all sides of the triangle.

The center of the circle is obtained from the intersection of the bisectors of all sides of the triangle.

The step similar to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle.

Option a is not correct as it is not used to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle.

Option b is not correct as it is not used to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle.

$\boxed{{\text{Option c}}}$ is correct as to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle.

Option d is not correct as it is not used to construct a circle inscribed in a triangle and a circle circumscribed about the triangle use the intersection of the bisectors to find the center of circle..

Learn more:

1. Learn more about rotation of triangle brainly.com/question/2992432

2. Learn more about angles brainly.com/question/1953744

3. Learn more about coordinates of triangle brainly.com/question/7437053

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangle

Keywords: sum, angle, altitude, triangle, sides, points, perpendicular, inscribed, circumscribe, circle, intersection, construct, similar, angle bisector, right angle, third side, right angled triangle, simplified.

Answer 2

"Use the intersection of the bisectors to find the center of the circle" is the step among the choices given in the question that is similar when constructing a circle inscribed in a triangle and a circle circumscribed about a triangle. The correct option among all the options that are given in the question is option "c".