01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Welcome to class today! • Lock down drill• Knight Time Questions• Ainsley video• Quiz TOMORROW!

Warm Ups

Tuesday Talks-

Pattern Talks

How many footballs are in the 43rd picture? 

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Homework Solutions/Questions

Quiz 1

You need to get your Chromebook and log in to Google Classroom to get to the quiz.

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Learning Objectives

I can identify and explain angle relationships that occur with parallel lines and transversals.

I can calculate missing angles using angle relationships.

Success Criteria

Find the missing angles.

ab

cd

ef

g

hi

j

k

28

62

o

o

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Transversal

Interior Angles: ____, ____, ____, ____

Exterior Angles: ____, ____, ____, ____

Line m is called a transversal.

A transversal cuts through two lines.

1 23 4

5 67 8

m

Transversal

Corresponding Angles: ____ & ____

Vertical Angles: ____ & ____

Alternate Interior Angles: ____ & ____

Alternate Exterior Angles: ____ & ____

Consecutive Interior Angles: ____ & ____

Linear Pairs: ____ & ____ 1 23 4

5 67 8

m

(same location on non-transversal lines)

(same-side interior angles)

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Parallel Lines with a Transversal

Is there a relationship between these angles when the two lines are parallel ?

Parallel lines

Perpendicular

DefinitionTerm Example

Skew

Click in boxes for answers to appear

Lines that never intersect

Lines that intersect at a right angle

Lines that don't intersect and are not in the same plane

Parallel Lines with a Transversal

1 23 4

5 67 8

m

GeoGebra Exploration

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Parallel Lines with a Transversal

Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles are congruent when a transversal cuts parallel lines.

Consecutive Interior Angles are supplementary when a transversal cuts parallel lines.

Note: If the lines are not parallel, the angle pairs still have their relationship name - they're just not congruent or supplementary.

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Practice with Vocabulary

Which of the following names the relationship between angles 1 and 4?

1 23 4

5 67 8

m

a) Alternate Interior Angles

b) Corresponding Angles

c) Vertical Angles

d) Alternate Exterior Angles

e) Consecutive Interior Angles

**NOT IN YOUR PACKET**

Practice with Vocabulary

Which of the following names the relationship between angles 1 and 8?

1 23 4

5 67 8

m

a) Alternate Interior Angles

b) Corresponding Angles

c) Vertical Angles

d) Alternate Exterior Angles

e) Linear Pair

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Practice with Vocabulary

Which of the following names the relationship between angles 3 and 5?

1 23 4

5 67 8

m

a) Alternate Interior Angles

b) Corresponding Angles

c) Linear Pair

d) Vertical Angles

e) Consecutive Interior Angles

Practice with Vocabulary

Which of the following names the relationship between angles 2 and 6?

1 23 4

5 67 8

m

a) Linear Pair

b) Corresponding Angles

c) Vertical Angles

d) Alternate Exterior Angles

e) Consecutive Interior Angles

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Practice with Vocabulary

Which of the following names the relationship between angles 4 and 5?

1 23 4

5 67 8

m

a) Alternate Interior Angles

b) Vertical Angles

c) Linear Pair

d) Alternate Exterior Angles

e) Consecutive Interior Angles

Practice Problems

Circle all of the properties this pair is guaranteed to have.

verticallinear paircorrespondingalternate intalternate ext

adjacentcomplementarysupplementarycongruentconsecutive int

verticallinear paircorrespondingalternate intalternate ext

adjacentcomplementarysupplementarycongruentconsecutive int

1. 2.

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Practice Problems

Circle all of the properties this pair is guaranteed to have.

verticallinear paircorrespondingalternate intalternate ext

adjacentcomplementarysupplementarycongruentconsecutive int

verticallinear paircorrespondingalternate intalternate ext

adjacentcomplementarysupplementarycongruentconsecutive int

3. 4.

Practice Problems

If m 2 = 75°, find the degree measures of the rest of the angles.

1 75°3 4

5 67 8

m

5.

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Practice Problems

If m 2 = 45°, find the degree measures of the rest of the angles.

6.

134

56

78

2

Success Criteria

7. Find the missing angles.

ab

cd

ef

g

hi

j

k

28

62

o

o

a = _____ e = _____ i = _____

b = _____ f = _____ j = _____

c = _____ g = _____ k = _____

d = _____ h = _____

01.04 Transversals with warm up BUTLER.notebook September 13, 2016

Something to ponder...