Download Geometry 10.3-10.4 Chords and Arcs + Inscribed Angles

Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
6/1 Warm-Up
Note: we do not know the slant height...
We need one Chromebook per group of 3­4 ­ today's investigation is very short...
June 01, 2016
Agenda:
- Warm-Up (Surface
area of cylinders + cones)
- 10.3 - relationships
between chords and arcs
-10.4 - Inscribed Angles
- 2 new definitions
- HW #10.3-10.4
Big Idea:
- Relationships between chords
and arcs, diameters, and center.
- How do you find the measure of
inscribed angles?
Surface Area
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
Let's look at some relationships between chords and circles...
- We will investigate 3 different relationships
1) Congruent chords and arcs
2) The diameter acting as a perpendicular bisector
3) Chords that are equidistant from the center of the circle
- You will use these relationships to find missing segment lengths
and to write and solve equations.
http://www.geogebra.org/m/1242159
http://www.geogebra.org/m/1242191
http://www.geogebra.org/m/1242953
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
Turn to p.190 in your
practice workbook...
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
6/1/2016
10.3
(PW)p.190: 1­11(odd)
Relationships between chords 5/31/2016
10.4
(PW)p.193­194:1­7(odd), 8­15, 17­21(odd)
Measures of inscribed angles
June 01, 2016
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
What is an inscribed angle? How do we find the
measure of an inscribed angle?
- We will investigate how to find the measure of an inscribed
angle
- We will add 2 definitions to our definition list
- We will use this relationship to find the measures of angles
drawn inside a circle
http://www.geogebra.org/m/1242973
http://tube.geogebra.org/student/m124190
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
Turn to p.193-194
in your practice
workbooks...
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Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
June 01, 2016
10
Geometry 10.3­10.4 Chords and Arcs + Inscribed Angles Notes
5/31/2016
10.3
(PW)p.190: 1­11(odd)
Relationships between chords 5/31/2016
10.4
(PW)p.193­194:1­7(odd), 8­15, 17­21(odd)
Measures of inscribed angles
June 01, 2016
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