Math II · G-C.4

Construct a tangent line from an external point to a circle.

Construct a tangent line from an external point to a circle.

Concept Geometry
Domain Circles
Problem Types

Problem Templates In This Objective

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

Template 1

Identify the tangent points in the auxiliary-circle construction

4 variants
Template 2

Classify a point relative to a circle before constructing tangents

4 variants
Template 3

Solve an unknown using equal tangent segments

4 variants
Template 4

Find a tangent-triangle measure with the Pythagorean theorem

4 variants
Template 5

Complete a missing step in the tangent-from-external-point construction

4 variants
Template 6

Verify tangency from coordinate incidence and perpendicularity

4 variants
Template 7

Construct tangents with the midpoint auxiliary circle

4 variants
Template 8

Verify an external tangent with a semicircle right angle

4 variants
Template 9

Audit an external-tangent construction

4 variants