Question

Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What should be her next step in the construction?

Select one:

a. Connect vertex B to the arc markings to complete the angle bisector

b. Use a straightedge to find the angle bisectors for angles A and B

c. Connect three arc markings together to form the triangle

d. Use the arc markings to determine the radius to construct the circle

Answer 1

I think the answer is A

Answer 2

Option A

Explanation:

Given that Cynthia Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown in the picture

We know that in circle of any triangle has centre as the intersection of two angle bisectors of the triangle.

Hence what she started is drawing angle bisector of B. By connecting vertex to the arc intersection, she can draw the angle bisector of B.

Continuing the same procedure for angle bisector for any other angle A or C she can find point of intersection as I incentre then draw incircle.

SO next step if option A