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Arcs and Angles Geometry Regular Program SY Source:

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Presentation on theme: "Arcs and Angles Geometry Regular Program SY Source:"— Presentation transcript:

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

2 Arcs and Angles Conjectures:

3 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.

4 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.

5 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.

6 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.

7 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

8 Arcs and Angles Conjectures:

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