Do NOW 9/29: 1. Name a line that does not intersect AD. 2. What is the intersection of AD and DB? 1. Name a line that does not intersect AD. Do NOW 9/29: Angle Pairs formed by a Transversal Agenda: HW Review Google Maps Types of Angles formed by Transversal Debrief: Parallel Lines Exit Ticket
HW Review
Transversal – a line that intersects two other lines Google Maps 1. Identify Pairs of Vertical Angles 2. Identify Linear Pairs of Angles L W R M S V N D Transversal – a line that intersects two other lines
Angles Formed By a Transversal Corresponding Angles ∠1 & ∠5 ∠2 & ∠6 ∠3 & ∠7 ∠4 & ∠8 Alternate Interior Angles ∠2 & ∠7 ∠4 & ∠5 Alternate Exterior Angles ∠1 & ∠8 ∠3 & ∠6 Consecutive Interior Angles ∠2 & ∠5 ∠4 & ∠7 *MUST BE IN NOTES!*
Debrief: What would be different if The lines are parallel Debrief: What would be different if The lines are parallel? What Will Be the sAme? L W R M S V N D
Angles Formed by A Transversal (EXIT TICKET) For 1-3, name the angle type respresented. 4. Draw an example of consecutive interior angles below. 1. 2. 3.
Do Now 9/30: Identify the angle types. ∠5 & ∠7 ∠3 & ∠6 ∠1 & ∠8 Angles Formed by Parallel Lines and a Transversal Agenda: HW Review Corresponding Angle Postulate Google Maps Classwork Practice with Angles on Parallel Lines Debrief Identify the angle types. ∠5 & ∠7 ∠3 & ∠6 ∠1 & ∠8
HW Review Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 1. 3 and 9 2. 5 and 13 3. 4 and 10 4. 5 and 15 5. 7 and 14 6. 1 and 11 Name all pairs of: 7. Corresponding angles. 8. Alternate interior angles. 9. Alternate exterior angles. 10. Consecutive interior angles.
Corresponding Angles POstulate *MUST BE IN NOTES!* T G S E Corresponding Angles Postulate – when parallel lines are intersected by a transversal, corresponding angles (angles in the same location on the intersection) are congruent. F L R D Corresponding Angles
Angles on Parallel Lines Practice 1. The measure of three of the numbered angles is 120°. Identify the angles. Explain your reasoning.
Angles on Parallel Lines Practice Use the diagram. 2. If m∠1 = 105°, find m∠4, m∠5, and m∠8. Explain how you know using vocabulary.
Debrief (Exit Ticket) Complete the Google Maps Worksheet What were the hardest angle pairs to find/remember? What is a trick to remembering the vocabulary?
Do Now 10/1: Find the Value of x Algebra on Parallel Lines Agenda HW Review Jigsaw Debrief
Google maps Key: Congruent Supplementary Alternate Interior Angles Corresponding Angles Alternate Exterior Angles Consecutive Interior Angles
Algebra on Parallel Lines
MoRE Angles, More Problems
Parallel Lines Jigsaw Each person starts with a sheet with angles on parallel lines problems on it. There will be a timer for each round. Round 1: Identify the angle relationship for each problem and write an equation for each problem (2 min) Round 2: (8 min) Round 3: Subtitute numbers into equation for each problem (5 min) Round 3: Solve each problem (and CHECK YOUR ANSWER!!) (10 min) **Between each round, make sure the person before you was correct!**
Debrief Which types of angles are congruent? Which types of anlges are supplementary? In algebra problems, how does this help us write our equations? When doing a proof, what would you need to use to justify each step that you took in the jigsaw?
DO NOW 10/2: Logic and Parallel Lines Quiz! Parallel Lines Proof Agenda: Quiz Tower of Pisa Proof Puzzle Proof Debrief
Leaning Tower of Pisa Are The Towers in these two Pictures parallel Leaning Tower of Pisa Are The Towers in these two Pictures parallel? How can we prove it? 5 1
Puzzle Proof GIVEN: q || r PROVE: 1 3
Debrief (Exit Ticket) Exit Ticket: You will be randomly assigned 2 angles. Given one angles measure, prove the second angles measure. Debrief: What are the common statements and reasons for proofs on parallel lines? Today we assumed or were given lines were parallel, and were asked to prove the measures of angles. How could we use give angle measures to prove that lines were parallel?