Question

select the correct answers from each drop - down menu. triangle abc is given. complete the steps to use a compass and straightedge to construct a circle inscribed in △abc. step 1: construct the angle bisector of angles a and b. step 2: label the intersection of the bisectors d. step 3: construct a line from d that (overline{cb}). label the intersection of this line and (overline{cb}) e. step 4: set the compass width (de). step 5: draw a circle centered at

Explanation:

Step1: Recall in - circle construction

The in - center of a triangle (center of the inscribed circle) is the point of intersection of the angle bisectors. After finding the in - center (point D), we need to find the radius of the inscribed circle. The radius of the inscribed circle is the perpendicular distance from the in - center to a side of the triangle.

Step2: Determine the perpendicular line

We construct a line from D that is perpendicular to $\overline{CB}$.

Step3: Set the compass width

The length of the perpendicular segment from D to $\overline{CB}$ (i.e., $DE$) is the radius of the inscribed circle. So we set the compass width equal to $DE$.

Step4: Draw the circle

We draw a circle centered at D.

Answer:

Step 3: is perpendicular to; Step 4: equal to; Step 5: D