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2016 Aug 26 Parallel Lines.notebook 1 August 28, 2016 1. Warm up Complete the frayer model and 1 and 2 2. Quiz 3. Parallel Lines

2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

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Page 1: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

1

August 28, 2016

1. Warm ­up Complete the frayer model and 1 and 2

2. Quiz

3. Parallel Lines 

Page 2: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

2

August 28, 2016

Page 3: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

3

August 28, 2016

Vertical Angles are congruentOpposite of each other same meausrement 

Adjencent anglesLinear pairsangles in a triangle   1

   23

 4

1 and 2 3 and 4

Page 4: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

4

August 28, 2016

Aug 26­10:28 AM

Page 5: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

angle

congruent

measure of the angle

perpendicular

parallel

parallel

congruent

Parallel lines

Page 6: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

6

August 28, 2016

Page 7: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

1 and 5, 2 and 6

4 and 8, 3 and 71 and 8

1 and 4 

Page 8: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

Page 9: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

Nov 5­9:34 AM

1 2

3 4

5 6

7 8

1 2

3 4

5 6

7 8

Parallel lines intersected by a transversal

Parallel lines intersected by a transversal

same side interior angles are on the same side of that transversal.

same side interior angles are supplemental

same side interior angles

alternate interior anglesalternate interior angles are on opposite sides of the transversal.

alternate interior angles are conguent

Page 10: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

10

August 28, 2016

Page 11: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

Page 12: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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Page 13: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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Page 14: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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Page 15: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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Page 16: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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Nov 3­11:14 PM

1.  angle  1 and angle 3  are supplemental bythe definition of supplement angles (linear pairs).

2. angle 2 and angle 3 are supplemental by

the definition of supplement angles(linear pairs). 

3. angle 2 and 4 are supplemental by 

definition of supplemental angles (linear pairs)

5. By substitution we can make 3 equations into 

2 equations because they equal 180

6. Because the equation have the same terms on the 

both sides of the equation signs the values can be

canceled (subtraction property.  The cancellation leave two equations 

that represent vertical angles. 

Page 17: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

Nov 3­11:14 PM

Page 18: 2. Quiz 3. Parallel Linesgoldengeometry.weebly.com/uploads/8/4/6/2/8462678/2016... · 2019-11-28 · 2016 Aug 26 Parallel Lines.notebook 16 August 28, 2016 Nov 311:14 PM 1. angle

2016 Aug 26 Parallel Lines.notebook

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August 28, 2016

Aug 26­9:05 AM