Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

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Presentation transcript:

Arcs and Angles Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

Arcs and Angles Conjectures:

Arcs and Angles Given a circle with inscribed angle CAB The inscribed angle and the central angle are intercepting the same arc.

Arcs and Angles Given a circle with inscribed angles P and Q The inscribed angles P and Q are intercepting the same arc.

Arcs and Angles Given a circle with angles inscribed in a semi-circle The inscribed angles intercept a semi-circle.

Arcs and Angles a and c are opposite angles. b and d are opposite angles.

Arcs and Angles Given a circle with two parallel secants Minor Arc AD and Minor Arc BC are in the interior of the two lines

Arcs and Angles Conjectures: