Question

The figure shows a circle inscribed in a triangle. To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next? A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle. A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle. Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed. Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.

Answer 1

C Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.

Explanation:

Answer 2

Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.

Explanation:

The above choice represents a bit of excess work. Actually, only one such perpendicular line segment needs to be constructed in order to determine the radius of the inscribed circle.

Once you know the center and radius, you can construct the inscribed circle.