Arcs and Angles Geometry Regular Program SY Source:

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Arcs and Angles Geometry Regular Program SY 2015-2016 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

Arcs and Angles Conjectures:

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

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

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

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

Minor Arc AD and Minor Arc BC are in the interior of the two lines 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: