arcs and angles geometry regular program sy 2014-2015 source: discovering geometry (2008) by michael...

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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Arcs and Angles

Geometry Regular ProgramSY 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.

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

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:

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CONFORMAL CLASSIFICATION OF ANALYTIC ARCS OR …...CONFORMAL CLASSIFICATION OF ANALYTIC ARCS OR ELEMENTS: POINCARÉ'S LOCAL PROBLEM OF CONFORMAL GEOMETRY* BY EDWARD KASNER ... of higher

Volume of Geometric Solids Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

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arcs and angles geometry regular program sy 2014-2015 source: discovering geometry (2008) by michael...

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