Math II · G-C.2

Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.

Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.

Concept Geometry
Domain Circles
Problem Types

Problem Templates In This Objective

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

Template 1

Find an inscribed angle measure from its intercepted arc

4 variants
Template 2

Find an intercepted arc measure from an inscribed angle

4 variants
Template 3

Find a central angle measure from its intercepted arc

4 variants
Template 4

Compare a central angle and an inscribed angle that intercept the same arc

4 variants
Template 5

Use a diameter to conclude an inscribed angle is a right angle

4 variants
Template 6

Find the measure of an angle formed by two chords intersecting inside a circle from the intercepted arcs

4 variants
Template 7

Find the measure of an exterior angle formed outside a circle from two intercepted arcs

4 variants
Template 8

Use the tangent-radius relationship to identify a perpendicular angle

4 variants
Template 9

Derive a named chord, arc, or central-angle relation

4 variants
Template 10

Use a perpendicular from the center to a chord to find the chord length

4 variants
Template 11

Solve for an unknown using equal tangent segments from the same external point

4 variants
Template 12

Analyze the angle formed by two tangents drawn from the same external point

4 variants
Template 13

Choose and apply the correct circle-angle theorem from a mixed diagram description

4 variants