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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...