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

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

Transcript of Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael...

Page 1: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and Angles

Geometry Regular ProgramSY 2014-2015

Source:

Discovering Geometry (2008) by Michael Serra

Geometry (2007) by Ron Larson

Page 2: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesConjectures:

Page 3: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesGiven a circle with inscribed angle CAB

The inscribed angle and the central angle are intercepting the same arc.

Page 4: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesGiven a circle with inscribed angles P and Q

The inscribed angles P and Q are intercepting the same arc.

Page 5: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesGiven a circle with angles inscribed in a semi-

circle

The inscribed angles intercept a semi-circle.

Page 6: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and Angles

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

Page 7: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesGiven a circle with two parallel secants

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

Page 8: Arcs and Angles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Arcs and AnglesConjectures: