Module 1 Lesson 9.notebook

1

September 21, 2016

Aug 13­12:09 PM

Module 1 Lesson 9 Unknown Angle Proofs-

Writing Proofs

HWp52 #1-2

Do Now:1. Take out last night's homework

Mid-Module 1 Test

Tuesday September 27th

Sep 20­7:28 PM

Module 1 Lesson 9.notebook

2

September 21, 2016

Sep 20­7:28 PM

Sep 20­7:28 PM

Module 1 Lesson 9.notebook

3

September 21, 2016

Sep 20­7:45 PM

p50

Sep 20­7:46 PM

p50

Module 1 Lesson 9.notebook

4

September 21, 2016

Sep 20­7:47 PM

p50

Sep 20­7:47 PM

p51

Module 1 Lesson 9.notebook

5

September 21, 2016

Sep 20­7:47 PM

Statement Reason

<w +<x = 180 <y + <x = 180

<w = <y

1. <w +<x = 180

2. <y + <x = 180

3. <w + <x = <y + <x

4. <w= <y

1. Linear pairs form supplementary angles

2. Linear pairs form supplementary angles

3. Substitution property of equality

4. Subtraction property of equality

p51

Sep 20­7:47 PM

Statement Reason

PLAN: Triangles = 180 degrees, vertical angles

1. <y + <x + <z = 180

2. <w = <y

3. <y + <x + <z = 180 3. Substitution property of equality

2. Vertical angles are equal in measure

1. Angles in a triangle sum to 180

p52

Module 1 Lesson 9.notebook

6

September 21, 2016

Sep 20­7:47 PM

Statement Reason

PLAN: vertical angles, exterior angle

1. <x = <y 1. Vertical angles are equal

2. <w = <x + <z 2. The Exterior angle is a triangle is equal to the sum of the opposite interior angles.

3. <w = <y + <z 3. Substitution property of equality

p53

Sep 20­7:47 PM

Statement Reason

PLAN: alternate interior angles

1. <1 = <3

2. <2= <3

3. <1 = <3

1. If parallel lines are cut by a transveral then alternate interior angles are equal

2. If parallel lines re cut by a transveral then alternate interior angles are equal

3. Substitution property of equality

p53

Module 1 Lesson 9.notebook

7

September 21, 2016

Sep 20­7:47 PM

Statement Reason

PLAN: angles at a point = 360

1. <a + <b + <c + <d =360

2. <e + <f + <g + <h =360

3. <i + <j + <k + <m =360

4. <h + <d + <i =180

5. a+b+c+d+e+f+g+h+i+j+k+m =10806. a+b+c+e+f+g+j+k+m =900

1. angles at a point sum to 360

3. angles at a point sum to 360

2. angles at a point sum to 360

4. angles in a triangle sum to 180

5. Substitution property of equality

6. Substitution property of equality

Sep 20­7:47 PM

Statement Reason

Statement Reason