Download - Warmup 1/(Complement of a 68o angle)
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Warmup 2/ (The measure of an angle that
is vertical to a 6o angle) Created by Mr. Lischwe
Put the values in order from least to greatest. Show
at least a little work for each value.
A: π
πB.π
πC.
π
πD.π
πE.
ππ
πππ
***Please make sure your desk has ONE
whiteboard, ONE marker, and ONE eraser
inside. If it has more than that, put the
extras back!***
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COLLECT BROWN ANGLE BASICS
WORKSHEET (MAKE SURE THERE IS A
SCORE!)
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Table of Contents (2nd Semester)
p. 1 Exponent Basics (1.2)
p. 2 Zero and Negative Exponents (1.5)
p. 3 Multiplying and Dividing Powers (1.3)
p. 4 Power to a Power (1.4)
p. 5 Scientific Notation (1.6)
p. 6 Calculating with Scientific Notation (1.7)
p. 7 Angle Basics
p. 8 Angles formed by Parallel Lines
BACK TO THIS PAGE
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Angles formed by Parallel Lines
Objectives: Given one angle measure, find ALL angles formed by 2 parallel lines
Identify special angle pairs
Use special angle pair rules to find angle measures
8
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Two angles that are in the same βpositionβ but
on different lines are called corresponding.
If the lines are parallel, these angles will be
congruent!!!
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COPY the diagram!!!!
One angle measure is given. Find the
measures of ALL other angles.
35o1
2 3
4 5
6 7
πβ π = ππππ
πβ π = πππ
πβ π = ππππ
πβ π = ππππ
πβ π = πππ
πβ π = πππ
πβ π = ππππ
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One angle measure is given. On your
whiteboard, find the measures of ALL
other angles.
98o2
3 4
5 6
71
πβ π = πππ
πβ π = πππ
πβ π = πππ
πβ π = πππ
πβ π = πππ
πβ π = πππ
πβ π = πππ
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New terminology Which angles would you say are interior angles?
Which angles would you say are exterior angles?
1 2
3 4
5 6
7 8
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Copy into binder (with diagram):
Alternate Interior: 4 and 5, 3 and 6
Same-side Interior: 3 and 5, 4 and 6
Alternate Exterior: 1 and 8, 2 and 7
Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and 8
1 2
3 4
5 6
7 8
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Hints to help remember:
Alternate Interior Angles:
Form a βZβ
Same-side interior: Form
a βCβ or βUβ
Alternate Exterior: Sort
of like vertical angles, but
separated more
Corresponding Angles:
The ones in βmatchingβ
positions. Bottom left
bottom left
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Which type of angle?
1
2
Alternate
Exterior
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Which type of angle?
12
Same-side
Interior
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Which type of angle?
12
Vertical
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Which type of angle?
1
2
Corresponding
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Which type of angle?
1 2
Alternate
Interior
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Which type of angle?
1
2
Same-side
interior
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Which type of angle?
1 2
Corresponding
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Which type of angle?
12
Alternate
Interior
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Which type of angle?
1
2
Vertical
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Which type of angle?
1 2
Linear Pair or
Supplementary
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Which type of angle?
1
2
Alternate
Interior
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Which type of angle?
1 2
Corresponding
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Which type of angle?
1
2
Same-side interior
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Which type of angle?
1 2
Corresponding
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Find the given angle measure.
65o
?
12
3
4
56
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Find the given angle measure.
115o
?
1
2
3 4
5 6
β’ If the lines are parallel,
alternate interior angles
will always be congruent to
each other!
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IN YOUR BINDER:
WHEN THE LINES ARE PARALLEL:
β¦ Alternate Interior: congruent
β¦ (Leave 3 more lines)_______
β¦ ______________________
β¦ ______________________
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Find the given angle measure.
120o
? 1
2 3
4 5
6
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Find the given angle measure.
55o
?β’ If the lines are parallel,
alternate exterior angles
will always be congruent to
each other!
1
2
3 4
5 6
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IN YOUR BINDER:
WHEN THE LINES ARE PARALLEL:
β¦ Alternate Interior: congruent
β¦ Alternate Exterior: congruent
β¦ ______________________
β¦ ______________________
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Find the given angle measure.
71o
?
1
2
3
4
56
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Find the given angle measure.
130o
?
β’ If the lines are
parallel, same-side
interior angles will
always be
supplementary to
each other.
1
2
3
4
5
6
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IN YOUR BINDER:
WHEN THE LINES ARE PARALLEL:
β¦ Alternate Interior: congruent
β¦ Alternate Exterior: congruent
β¦ Same-Side Interior: supplementary
β¦ ______________________
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Remember, if the lines are parallel,
corresponding angles are congruent.
1 23 4
5 6
7 8
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IN YOUR BINDER:
WHEN THE LINES ARE PARALLEL:
β¦ Alternate Interior: congruent
β¦ Alternate Exterior: congruent
β¦ Same-side Interior: supplementary
β¦ Corresponding: congruent
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Whiteboards
1
2
If the measure of angle 1 is 30 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = πππ; they
are alternate
exterior
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Whiteboards
12
If the measure of angle 1 is 45 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = ππππ; they
are same-side
interior
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Whiteboards
1
2
If the measure of angle 1 is 25 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = πππ; they
are vertical
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Whiteboards
1
2
If the measure of angle 1 is 115 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = ππππ; they
are corresponding
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Whiteboards
1
2
If the measure of angle 1 is 107 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = ππππ; they
are alternate interior
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Whiteboards
12
If the measure of angle 1 is 41 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = ππππ; they
are supplementary
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Whiteboards
1
2
If the measure of angle 1 is 41 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
TRICK
QUESTION:
These lines arenβt
parallel. We donβt
know!
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Extra oneβ¦
1
2
If the measure of angle 1 is 40 degrees, what is the
measure of angle 2? HOW DO YOU KNOW?
πβ π = ππππ;
angle 3 is 40
degrees because
it corresponds to
angle 1; angle 2 is
supplementary
with angle 3
3
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HOMEWORK
Parallel Lines WS