Common Core · High school
HSG-C.A.3
High school — Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
The skill that covers it
What a student should be able to do
- Find an inscribed angle from its arc or central angle, including angles in a semicircle.
- Use the properties of chords, tangents and the tangent-radius right angle.
- Find angles formed by chords, secants and tangents meeting inside or outside the circle.
- Use the chord, secant and tangent segment products to find an unknown length.