Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael...
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Transcript of Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael...
Arcs and Angles
Geometry Regular ProgramSY 2014-2015
Source:
Discovering Geometry (2008) by Michael Serra
Geometry (2007) by Ron Larson
Arcs and AnglesConjectures:
Arcs and AnglesGiven a circle with inscribed angle CAB
The inscribed angle and the central angle are intercepting the same arc.
Arcs and AnglesGiven a circle with inscribed angles P and Q
The inscribed angles P and Q are intercepting the same arc.
Arcs and AnglesGiven 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 AnglesGiven a circle with two parallel secants
Minor Arc AD and Minor Arc BC are in the interior of the two lines
Arcs and AnglesConjectures: