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? (Triangle ABC is shown with arc markings on side AB and BC and two intersecting arc markings across from angle B.) 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

Answer:

option: A is correct.

Step-by-step explanation:

According to the construction defined in the question we see that we will get geometry as attached to the answer (Figure 1)

Since by connecting the vertex B to the arc markings he is trying to find out the first angle bisector i.e. angle bisector of angle  B and geometry will look like a figure as attached to the answer(figure 2).

Hence, option A is correct.

Answer 2

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