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G.G.49 Investigate, justify, and apply theorems regarding chords of a circle: o perpendicular bisectors of chords o the relative lengths of chords as compared to their distance from the center of the circle

G.G.50 Investigate, justify, and apply theorems about tangent lines to a circle: o a perpendicular to the tangent at the point of tangency o two tangents to a circle from the same external point o common tangents of two non-intersecting or tangent circles

G.G.51 Investigate, justify, and apply theorems about the arcs determined by the rays of angles formed by two lines intersecting a circle when the vertex is: o inside the circle (two chords) o on the circle (tangent and chord) o outside the circle (two tangents, two secants, or tangent and secant)

G.G.52 Investigate, justify, and apply theorems about arcs of a circle cut by two parallel lines

G.G.53 Investigate, justify, and apply theorems regarding segments intersected by a circle: o along two tangents from the same external point o along two secants from the same external point o along a tangent and a secant from the same external point o along two intersecting chords of a given circle