Problem preview

G-C.3 Warmup M2-031-A12-V04

Construct inscribed/circumscribed circles of triangles and prove angle properties of cyclic quadrilaterals.

Complete a missing step in an incenter, incircle, circumcenter, or circumcircle construction

Problem

In this incenter construction, \(\text{one}~\angle~\text{bisector}\) of the triangle has already been constructed. What is the missing step?

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Construct a second angle bisector and mark the intersection.

Draw the angle bisector of ∠A again, even though that angle bisector is already shown.

Construct a perpendicular from the intersection point to a side to determine the radius.

Construct a second side’s perpendicular bisector and mark the intersection.

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Curriculum context

Course: Math II
Standard: G-C.3
Category: Geometry
Domain: Circles
Objective: Construct inscribed/circumscribed circles of triangles and prove angle properties of cyclic quadrilaterals.
Problem type: Complete a missing step in an incenter, incircle, circumcenter, or circumcircle construction