cynthia is constructing a circle inscribed in a triangle. she has partially completed the construction as shown below. what should her next step be in the construction (worth 50 points)

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

explain!

The correct next step that Cynthia should do is to:

D. use the arc markings to determine the radius to construct the circle

The arc markings are actually used as the baseline in determining the center and the radius of the circle. The arc markings are created with the use of a compass. All other choices are completely irrelevant because what we need is the arc and not the angles. The angles do not create the circle. Letter C is also wrong because what we are trying to form is the circle and not the triangle. The triangle is already created.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .