Lessons for G.C.A.2
Angles made by chords, secants and tangentsTwo secants, a secant and a tangent, or two tangents give an angle equal to half the difference of the arcs.Lesson
The inscribed angle theoremAny two inscribed angles opening onto the same arc are congruent.Lesson
Arcs and central anglesA chord splits a circle into a shorter arc and a longer one, named with two or three letters.Lesson
Chord theoremsA radius drawn perpendicular to a chord cuts that chord and its arc in half.Lesson
Proving a tangent is perpendicular to the radiusEvery other point of the tangent line lies outside the circle, so the radius has to be the shortest path.Lesson
Tangent propertiesA tangent line is perpendicular to the radius drawn to the point where it touches.Lesson
Printable Worksheets
Angles made by chords, secants and tangents worksheet (PDF)Printable worksheet with answer keyPreview
The inscribed angle theorem worksheet (PDF)Printable worksheet with answer keyPreview
Arcs and central angles worksheet (PDF)Printable worksheet with answer keyPreview
Chord theorems worksheet (PDF)Printable worksheet with answer keyPreview
Proving a tangent is perpendicular to the radius worksheet (PDF)Printable worksheet with answer keyPreview
Tangent properties worksheet (PDF)Printable worksheet with answer keyPreview