Module 1 Lesson 11.notebook - msaddmath.weebly.commsaddmath.weebly.com/.../module_1_lesson_11_notes.pdf · Module 1 Lesson 11.notebook 5 September 23, 2016 Sep 219:07 AM p59 Statement

Module 1 Lesson 11.notebook

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September 23, 2016

Aug 13­12:09 PM

Module 1 Lesson 11 Unknown Angle Proofs- Proofs of Known Fact

HWReview #8-15

Do Now:

Module 1 Test Lesson 1-11

Tuesday September 27th

p61 opening exercise

Sep 22­4:41 PM

p61

Module 1 Lesson 11.notebook

2

September 23, 2016

Sep 21­4:27 PM

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Statement Reason

1. AB ll CD 1. Given

2. <2 = <a 2. If parallel lines are cut by a transversal then alternate interior angles are congruent

3. <3 = <c 3. If parallel lines are cut by a transversal then alternate interior angles are congruent

4. <1 = <2 + <3 4. Angle Addition Postulate

5. <1 = <a + <c 5. Substitution Property of Equality

Sep 22­4:33 PM

Vertical Angles

Corresponding Angles

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Module 1 Lesson 11.notebook

3

September 23, 2016

Sep 22­4:21 PM

Conditional and Converse

a statement with an hypothesis and a conclusion (If....Then....)

when you flip the conditional statement around.

Conditional: If the sky is gray then it is raining

Converse: If it is raining then the sky is gray

Conditional: If your homework is done then you can have your phone back

Converse: If your homework is done then you can have your phone back

p64

Sep 22­4:22 PM

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Module 1 Lesson 11.notebook

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September 23, 2016

Sep 22­5:04 PM

PLAN:

Statement Reason

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1. x = y 1. Given

2. AB ll EF 2. If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel.

Sep 22­5:07 PM

p63

Given Prove

Statement Reason

1. Given1. L l m, n l m2. <1 = 90

<2 = 90

2. Perpendicular lines form 90 degree angles

3. <1 + <2 = 180 3. Angle Addition Postulate

4. L ll n 4. It two lines cut by a transversal have same side interior angles that sum to 180 degrees then the lines are parallel

Module 1 Lesson 11.notebook

5

September 23, 2016

Sep 21­9:07 AM

p59Statement Reason

PLAN:

1. <a = 70 1. Vertical angles are equal

2. <a = <e 2. If parallel lines are cut by a transversal then alternate interior angles are equal

3. <a + <b + <c =180 3. Angles in a triangle sum to 180 degrees

4. <f + <e = 180 4. Linear Pairs are supplementary5. <a + <f = 180 5. Substitution Property of Equality