Math II · G-C.3

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

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

Concept Geometry
Domain Circles
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find a missing angle in a cyclic quadrilateral using opposite supplementary angles

4 variants
Template 2

Determine whether a quadrilateral can be cyclic from its opposite angle pairs

4 variants
Template 3

Solve for a variable using supplementary opposite angles in a cyclic quadrilateral

4 variants
Template 4

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

4 variants
Template 5

Choose a triangle center from the required equal distances

4 variants
Template 6

Construct a circumcircle with perpendicular bisectors

4 variants
Template 7

Find and verify a coordinate circumcenter

4 variants
Template 8

Construct an incircle with angle bisectors

4 variants
Template 9

Use an incenter's perpendicular radius

4 variants
Template 10

Relate inscribed angles to intercepted arcs

4 variants