Welcome Geometry! Please do the following: 1)Pick up Entry Ticket and U1L6 from the side shelf. 2)Take out HW #7 Homework: o HW #8 Pg. 148 #6-13, 26-29, 34, 42 o HW #9 Pg. 158 #1-5, 20-21, 31 Updates:3 rd period Unit 1 Quiz 2 is 9/4 4 th period Unit 1 Quiz 2 is 9/5 Unit 1 Quiz 2 is , ° Due – 8/29 4° Due – 8/29 3° Due – 8/29 4° Due – 8/29

Agenda 1)Entry Ticket 2)Review HW #7 3)Wrap up U1L5 4)U1L6 5)Cool-Down…

Entry Ticket

Review HW #7 I will provide you 4 minutes to review HW#7 answers. Please compare solutions with your tablemates. Attempt to answer your tablemates questions. After the 4 minutes I will answer any remaining questions.

Learning Objective By the end of this period you will be able to: o Identify the angles formed by two lines and a transversal. o Prove and use theorems about the angles formed by parallel lines and a transversal.

Lines and Angles (3.1) Transversal o A line that intersects two coplanar lines at two different points. o The transversal t and the other two lines r and s form eight angles.

Lines and Angles (3.1) Corresponding Angles o Angles in the same position. o Lie on the same side of the transversal t and on the same side as r and s. o ∠ 1 and ∠ 5 What are the other corresponding angles in the diagram?

Lines and Angles (3.1) Alternate Interior Angles o Non-adjacent angles that lie opposite of the transversal and lie between r and s. o ∠ 4 and ∠ 5 What are the other alternate interior angles in the diagram?

Lines and Angles (3.1) Alternate Exterior Angles o Lie on opposite sides of transversal t and lie outside of r and s. o ∠ 2 and ∠ 7 What are the other alternate exterior angles in the diagram?

Lines and Angles (3.1) Same-Side Interior Angles o Lie on the same-side as transversal t between lines r and s. o ∠ 4 and ∠ 6 What are the other same-side interior angles in the diagram?

Lines and Angles (3.1)

Whiteboards! Identify each angle pair.

Whiteboards! Identify each angle pair.

Whiteboards! Identify each angle pair.

Angles Formed by Parallel Lines and Transversals (3.2) What do you call two lines that do not intersect? How are parallel lines represented on a diagram? How would I write that the two lines are parallel? Exterior Interior A solid arrow placed on two lines of a diagram indicates that the lines are parallel. The symbol || is used to indicate parallel lines. AB || CD

Angles Formed by Parallel Lines and Transversals (3.2) A slash through the parallel symbol || indicates the lines are not parallel. AB || CD

Angles Formed by Parallel Lines and Transversals (3.2) Take 10 minutes to complete the front side of your guided notes. During this exploration you will need a protractor.

Angles Formed by Parallel Lines and Transversals (3.2) Special Angle Relationships WHEN THE LINES ARE PARALLEL Interior Exterior ♥ Alternate Interior Angles are CONGRUENT ♥ Alternate Exterior Angles are CONGRUENT ♥ Corresponding Angles are CONGRUENT ♥ Same Side Interior Angles are SUPPLEMENTARY

Angles Formed by Parallel Lines and Transversals (3.2) We are going to do Practice (a) together and then I will give you 10 minutes to complete the remaining problems!

Angles Formed by Parallel Lines and Transversals (3.2)

Cool-Down: Pictionary With Math! You are going to be on two teams. Left of the room vs. the right of the room. I will choose 5 people at random. Choose the names and stand in two lines at the front of the room. I will show the first person in line a vocab word and they are to think of words that describe it [If you say the vocab word you loose that point automatically]. Everyone in their team are to guess that word and when that word is said the first person in line will place their card on the table and move to the back of the line and the next person will describe the next vocab word. If you cannot describe the word you may say pass and it will go to the person next in line. After the minute we will count the number of cards you won. Then the next team will go. Whoever is able to define the most words will win.