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Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Mar 26, 2015

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Page 1: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Get Materials!Get Materials!

Page 2: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

01 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100Get Materials!Get Materials!

Page 3: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Get Materials!Get Materials!

00 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100

Page 4: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Homework Answers…Questions?1. 2 – vertical, 5 – corresponding, 6 – alt. ext. 2. 6 – vertical, 4 – corresponding, 2 - alt. int.3. 2 – vertical, 4 – corresponding4. 6 – vertical, 11 & 4 – corresponding, 9 & 2 – alt.

int., 13 & 15 – corresponding to 2 & 115. 1 = 45o (alt. int.)2 = 135o (linear pair)6. 1 = 65o (same-side ext.) 2 = 115o

(corresponding)7. 1 = 95o (alt. int.)2 = 130o (same-side int.)8. a) measure of angle 1 = 105o

b) same-side interior

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Why does it matter?

Light technology and Mirror Reflection

What are we learning today?

Proving lines are parallel (the converses of

the angle theorems)

Section 2.1.5

Page 6: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Warm up in pairs Title classwork 2.1.5 Classwork

Complete textbook pg 92 # 38

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Together Now! Turn to page 93 #43 Volunteers to read?

Page 8: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Use those theorems in reverse! #44

44A)

44B)

44C)

44D)

Page 9: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Converses and Parallel Notation Converse – switch the “If and then”

in a theorem The notation for parallel lines are 2

slashes between the lines that are parallel

Example: m // nwould read m is parallel to n.

m

n

Page 10: Get Materials! 01 59585756555453525150494847464544434241403938373635343332313029282726252423222120191817161514131211100908070605040302 0100 Get Materials!

Prove these lines are parallel! (#45)

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Hooray!

If we got here before the bell, then we all get a break!

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Somebody’s Watching Me part 2 Read # 46 together for set up Complete #47 with your partner

using the angle I assign you Copy the diagram onto

your classwork when

filling in angles

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Answers to 47a

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Answers continued

47b)

47c)

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Putting it all together.

#49) Calculate the measures of x, y, and z. Justify each answer with the name of a geometric relationship from your toolkit.

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Practice makes perfect! Complete #51 with your partner. I will have a pair share answers on the

board.

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Homework

Textbook pg 97 #52 all If you want full credit:

-set up an equation

-show work

-solve for x