Question

Sarah has completed the first few steps for constructing the inscribed circle for triangle ABC. She started by constructing the angle bisectors for angles A and C. This gives her the incenter (point D). What is the next step?
A) Construct the angle bisector for angle B.
B) Construct a circle with center D that passes through point B.
C) Construct the perpendicular bisector of one side of the triangle.
D) Construct the altitude from the incenter to a side of the triangle and label the intersection point.

Answer 1

Choice A. You want all three angle bisectors

Answer 2

Answer:

The next step is to construct the altitude from the incentre  to a side of triangle and label the intersection point

Step-by-step explanation:

To construct the inscribed circle we have several steps of construction

Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.

Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.

This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.

Hence, after incenter The next step is to construct the altitude from the incentre  to a side of triangle and label the intersection point.