Question

Brenna is constructing a circle inscribed in a triangle. What should be her next step in the construction?

a. Connect vertex B to the arc marking to complete the angle bisector.
b. Find the angle bisectors for angles A and B.
c. Connect three arc markings together to form the triangle.
d. Use the incenter to determine the center to construct the circle.

Answer 1

Brenna should use the incenter to determine the center to construct the circle.

Step-by-step explanation:

Brenna's next step in the construction should be to use the incenter to determine the center to construct the circle (option d).

The incenter is the point of concurrency of the angle bisectors of a triangle. By connecting the angle bisectors of the triangle, Brenna can find the incenter. The incenter will be the center of the circle inscribed in the triangle.

Once Brenna determines the incenter, she can use it as the center point to construct the circle that is inscribed in the triangle.