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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 1.1-1.4, 3.1-3.4 3° Due – 8/29 4° Due – 8/29

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,

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Page 1: 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,

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, 42o HW #9 Pg. 158 #1-5, 20-21, 31

Updates: 3rd period Unit 1 Quiz 2 is 9/44th period Unit 1 Quiz 2 is 9/5Unit 1 Quiz 2 is 1.1-1.4, 3.1-3.4

3° Due – 8/294° Due – 8/29

Page 2: 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,

Agenda

1) Entry Ticket2) Review HW #73) Wrap up U1L54) U1L65) Cool-Down…

Page 3: 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,

Entry Ticket

Page 4: 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,

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.

Page 5: 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,

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.

Page 6: 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,

Lines and Angles (3.1)Transversalo 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.

Page 7: 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,

Lines and Angles (3.1)Corresponding Angleso 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?

Page 8: 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,

Lines and Angles (3.1)Alternate Interior Angleso 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?

Page 9: 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,

Lines and Angles (3.1)Alternate Exterior Angleso 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?

Page 10: 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,

Lines and Angles (3.1)Same-Side Interior Angleso 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?

Page 11: 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,

Lines and Angles (3.1)

Page 12: 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,

Lines and Angles (3.1)

Page 13: 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,

Whiteboards!Identify each angle pair.

Page 14: 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,

Whiteboards!Identify each angle pair.

Page 15: 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,

Whiteboards!Identify each angle pair.

Page 16: 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,

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?

A

B

DC

Exterior

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

Page 17: 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,

Angles Formed by Parallel Lines and Transversals (3.2)

A slash through the parallel symbol || indicates the lines are not parallel.

AD

B

C

AB || CD

Page 18: 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,

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.

Page 19: 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,

Angles Formed by Parallel Lines and Transversals (3.2)

Special Angle Relationships WHEN THE LINES ARE PARALLEL

14

2

657 8

3Interior

Exterior

Exterior

♥ Alternate Interior Angles are CONGRUENT

♥ Alternate Exterior Angles are CONGRUENT

♥ Corresponding Angles are CONGRUENT

♥ Same Side Interior Angles are SUPPLEMENTARY

Page 20: 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,

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!

Page 21: 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,

Angles Formed by Parallel Lines and Transversals (3.2)

Page 22: 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,

Angles Formed by Parallel Lines and Transversals (3.2)

Page 23: 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,

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.