

Vertical Angles and Linear Pairs
Presentation
•
Mathematics
•
9th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 12 Questions
1
Linear Pairs and Vertical Angles

2
Angle Addition Postulate
The measure of an angle created by two or more adjacent angles is equal to the sum fo the measures of the individual angles.
3
Angles
Adjacent Angles: coplanar angles with a common side, a common vertex, and no common interior points
Vertical Angles: opposite angles formed by two intersecting lines
Congruent Angles: two angles that have the same measure
4
Linear Pairs
Two adjacent angles whose noncommon sides are opposite rays
Supplementary (add up to 180 degrees)
When two lines intersect they form two sets of linear pairs
5
Multiple Choice
Two angles are adjacent and have measures of 67 degrees and 123 degrees. Do the two angles form a linear pair?
yes
no
6
Multiple Choice
7
Multiple Choice
Are the angles shown vertical angles, a linear pair, or neither?
vertical angles
linear pair
neither
8
Vertical Angles
Opposite (nonadjacent) angles formed by two intersecting lines
Two intersecting lines will form two pairs of vertical angles
Vertical Angle Theorem: If two angles are vertical angles, then they are congruent
9
Multiple Choice
10
Multiple Choice
Angle 7 and angle 3 are...
Vertical Angles
Linear Pairs
Neither
11
Poll
Rate your understanding of linear pairs and vertical angles.
I've got this
I think I understand, but may have some questions
I still have lots of questions
I'm sorry, what were we talking about?
12
Multiple Choice
13
Multiple Choice
Find the values of y and z.
y=76, z=114
y=104, z=76
y=76, z=104
z=114, y=76
14
Multiple Choice
Angle 1 and two are...
Vertical Angles
Linear Pairs
Neither
15
Multiple Choice
What is the measure of each vertical angle?
6 degrees, 6 degrees
6 degrees, 174 degrees
12 degrees, 12 degrees
12 degrees, 168 degrees
16
Multiple Choice
Find the value of x.
x=125
x=55
x=45
17
Multiple Choice
Angle 5 and angle 8 are...
Vertical Angles
Linear Pairs
Neither
Linear Pairs and Vertical Angles

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