Section 3 3 Proving Lines Parallel Day 1
![Section 3 -3 Proving Lines Parallel – Day 1, Calculations. Michael Schuetz Section 3 -3 Proving Lines Parallel – Day 1, Calculations. Michael Schuetz](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-1.jpg)
![Theorem 3 -4: Converse of the Corresponding Angles Theorem. Then If two lines and Theorem 3 -4: Converse of the Corresponding Angles Theorem. Then If two lines and](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-2.jpg)
![Theorem 3 -5: Converse of the Alternate Interior Angles Theorem. Then If two lines Theorem 3 -5: Converse of the Alternate Interior Angles Theorem. Then If two lines](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-3.jpg)
![Theorem 3 -6: Converse of the Same. Side Interior Angles Postulate. Then If two Theorem 3 -6: Converse of the Same. Side Interior Angles Postulate. Then If two](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-4.jpg)
![Theorem 3 -7: Converse of the Alternate Exterior Angles Theorem. Then If two lines Theorem 3 -7: Converse of the Alternate Exterior Angles Theorem. Then If two lines](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-5.jpg)
![Example 1, Identifying parallel lines Which and l m lines are parallel if ? Example 1, Identifying parallel lines Which and l m lines are parallel if ?](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-6.jpg)
![Example 2, Using Algebra What is the value of x that makes p//q? Which Example 2, Using Algebra What is the value of x that makes p//q? Which](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-7.jpg)
![Homework: Day 1 P. 160, #’s 7, 8, 15, 16, 27, 28, 31, 32, Homework: Day 1 P. 160, #’s 7, 8, 15, 16, 27, 28, 31, 32,](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-8.jpg)
![Section 3 -3 Proving Lines Parallel – Day 2, Proofs. Michael Schuetz Section 3 -3 Proving Lines Parallel – Day 2, Proofs. Michael Schuetz](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-9.jpg)
![Proof of Theorem 3 -5: Given: Prove: l//m l m Statements 2 4 6 Proof of Theorem 3 -5: Given: Prove: l//m l m Statements 2 4 6](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-10.jpg)
![Proof of Theorem 3 -7: Given: Prove: l//m l m Statements 1 3 7 Proof of Theorem 3 -7: Given: Prove: l//m l m Statements 1 3 7](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-11.jpg)
![Proof of Theorem 3 -4: Given: Prove: l//m l m Statements 4 1 5 Proof of Theorem 3 -4: Given: Prove: l//m l m Statements 4 1 5](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-12.jpg)
![Homework: Day 2 P. 161, #’s 17 -26, for 40 & 41 write a Homework: Day 2 P. 161, #’s 17 -26, for 40 & 41 write a](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-13.jpg)
- Slides: 13
![Section 3 3 Proving Lines Parallel Day 1 Calculations Michael Schuetz Section 3 -3 Proving Lines Parallel – Day 1, Calculations. Michael Schuetz](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-1.jpg)
Section 3 -3 Proving Lines Parallel – Day 1, Calculations. Michael Schuetz
![Theorem 3 4 Converse of the Corresponding Angles Theorem Then If two lines and Theorem 3 -4: Converse of the Corresponding Angles Theorem. Then If two lines and](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-2.jpg)
Theorem 3 -4: Converse of the Corresponding Angles Theorem. Then If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel. If Theorem l m 2 6
![Theorem 3 5 Converse of the Alternate Interior Angles Theorem Then If two lines Theorem 3 -5: Converse of the Alternate Interior Angles Theorem. Then If two lines](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-3.jpg)
Theorem 3 -5: Converse of the Alternate Interior Angles Theorem. Then If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel. If Theorem l m 4 6
![Theorem 3 6 Converse of the Same Side Interior Angles Postulate Then If two Theorem 3 -6: Converse of the Same. Side Interior Angles Postulate. Then If two](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-4.jpg)
Theorem 3 -6: Converse of the Same. Side Interior Angles Postulate. Then If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel. If Theorem l m 3 6
![Theorem 3 7 Converse of the Alternate Exterior Angles Theorem Then If two lines Theorem 3 -7: Converse of the Alternate Exterior Angles Theorem. Then If two lines](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-5.jpg)
Theorem 3 -7: Converse of the Alternate Exterior Angles Theorem. Then If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel. If Theorem l m 1 7
![Example 1 Identifying parallel lines Which and l m lines are parallel if Example 1, Identifying parallel lines Which and l m lines are parallel if ?](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-6.jpg)
Example 1, Identifying parallel lines Which and l m lines are parallel if ? Justifies your answers? p q 2 1 8 4 6 5 3 Converse of the corresponding angles theorem 9 7 Converse of the alternate interior angles theorem
![Example 2 Using Algebra What is the value of x that makes pq Which Example 2, Using Algebra What is the value of x that makes p//q? Which](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-7.jpg)
Example 2, Using Algebra What is the value of x that makes p//q? Which theorem or postulate justifies your answer? l p 111˚ q 2 x+9˚ The converse of the Same-Side Interior Postulate tells us that to make p//q, then
![Homework Day 1 P 160 s 7 8 15 16 27 28 31 32 Homework: Day 1 P. 160, #’s 7, 8, 15, 16, 27, 28, 31, 32,](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-8.jpg)
Homework: Day 1 P. 160, #’s 7, 8, 15, 16, 27, 28, 31, 32, 47, 48
![Section 3 3 Proving Lines Parallel Day 2 Proofs Michael Schuetz Section 3 -3 Proving Lines Parallel – Day 2, Proofs. Michael Schuetz](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-9.jpg)
Section 3 -3 Proving Lines Parallel – Day 2, Proofs. Michael Schuetz
![Proof of Theorem 3 5 Given Prove lm l m Statements 2 4 6 Proof of Theorem 3 -5: Given: Prove: l//m l m Statements 2 4 6](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-10.jpg)
Proof of Theorem 3 -5: Given: Prove: l//m l m Statements 2 4 6 Reasons 1. Given 2. Vertical angles are congruent 3. Transitive property 4. Theorem 3 -4: If corresponding angles are congruent then the lines are parallel.
![Proof of Theorem 3 7 Given Prove lm l m Statements 1 3 7 Proof of Theorem 3 -7: Given: Prove: l//m l m Statements 1 3 7](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-11.jpg)
Proof of Theorem 3 -7: Given: Prove: l//m l m Statements 1 3 7 Reasons 1. Given 2. Vertical angles are congruent 3. Transitive property 4. Theorem 3 -4: If corresponding angles are congruent then the lines are parallel.
![Proof of Theorem 3 4 Given Prove lm l m Statements 4 1 5 Proof of Theorem 3 -4: Given: Prove: l//m l m Statements 4 1 5](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-12.jpg)
Proof of Theorem 3 -4: Given: Prove: l//m l m Statements 4 1 5 Reasons 1. Given 2. Angles 1 and 4 form a linear pair 3. Substitution 4. Theorem 3 -6: If same-side interior angles are supplementary then the lines are parallel.
![Homework Day 2 P 161 s 17 26 for 40 41 write a Homework: Day 2 P. 161, #’s 17 -26, for 40 & 41 write a](https://slidetodoc.com/presentation_image_h2/65148c9613c195c418308dd422c918ad/image-13.jpg)
Homework: Day 2 P. 161, #’s 17 -26, for 40 & 41 write a 2 column proof.
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