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Standards/Math/North Dakota/HS.G-C

HS.G-C

HS HS
HS.A-APR
HS.A-CED
HS.A-REI
HS.A-SSE
HS.F-BF
HS.F-IF
HS.F-LE
HS.F-TF
HS.G-C
HS.G-C.1HS.G-C.2HS.G-C.3HS.G-C.4HS.G-C.5
HS.G-CO
HS.G-GMD
HS.G-GPE
HS.G-MG
HS.G-SRT
HS.N-CN
HS.N-Q
HS.N-RN
HS.N-VM
HS.S-CP
HS.S-IC
HS.S-ID
HS.S-MD

HS.G-C

HS.G-C.1Understand and apply theorems about relationships with line segments and circles including radii, diameter, secants, tangents, and chords.HS.G-C.2Understand and apply theorems about relationships with angles formed by radii, diameter, secants, tangents, and chords. Understand and apply properties of angles for a quadrilateral inscribed in a circle.HS.G-C.3Construct the incenter and circumcenter of a triangle. Relate the incenter and circumcenter to the inscribed and circumscribed circles.HS.G-C.4(+)Construct a tangent line from a point outside a given circle to the circle.HS.G-C.5Explain and use the formulas for arc length and area of sectors of circles.
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