Question

A student wants to construct the inscribed circle of a triangle. What is the first step he/she should take?

a) Construct a circle using one of the vertices of the triangle
b) Construct the perpendicular bisector of each side of the triangle
c) Construct a line parallel to the vertex of the triangle
d) Construct the angle bisector of each angle in the triangle

Answer 1

construct the perpendicular bisector of each side of the triangle

Explanation:

Answer 2

The correct answer is:

d) Construct the angle bisector of each angle in the triangle

Explanation:

The incenter, or center of an inscribed circle, is the point where the angle bisectors of a triangle intersect. This means the first thing we will need to construct is the bisector of each angle of the triangle.