Lets fill in some blanks

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Lets fill in some blanks
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The angles in a ________ ____ are supplementary.

y
x
Linear Pair
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_______ angles are congruent.
Vertical
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COMPLETE When 2 parallel lines are cut by a
transversal...

• Corresponding Angles are congruent
• Alternate Interior Angles are congruent
• Alternate Exterior Angles are congruent
• Consecutive Interior Angles are supplementary

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COMPLETE When 2 lines are cut by a transversal
so that...

• Corresponding Angles are congruent
• Alternate Interior Angles are congruent
• Alternate Exterior Angles are congruent
• Consecutive Interior Angles are supplementary

Then the lines are parallel.
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180
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_________ ____ form right angles. (90o).
Perpendicular lines
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What term describes the two lines?
Parallel
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What term describes the two lines?
Skew
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Identify the type of angles pictured
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Corresponding Angles
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Alternate Exterior Angles
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Consecutive Interior Angles

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Alternate Interior Angles
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Vertical Angles
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Corresponding Angles
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A Linear Pair
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Identify the theorem, postulate, etc. which
supports each conclusion.
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p
1
2
r
3
4
6
5
s
7
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The Perpendicular Transversal Converse Theorem
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1
2
r s
3
4
6
5
7
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Alternate Interior Angles Converse Theorem
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p
1
2
r
3
4
6
5
s
7
8
Consecutive Interior Angles Theorem
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p
1
2
r
3
4
6
5
s
7
8
Corresponding Angles Postulate
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p
1
2
r
3
4
6
5
s
7
8
The Supplement Theorem
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1
2
r s
3
4
6
5
7
8
Alternate Exterior Angles Converse Theorem
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p
1
2
r
3
4
6
5
s
7
8
Vertical Angles Theorem
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p
1
2
r
3
4
6
5
s
7
8
Consecutive Interior Angles Converse Theorem
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p
1
2
r
3
4
6
5
s
7
8
Alternate Exterior Angles Theorem
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p
1
2
r
3
4
6
5
s
7
8
Corresponding Angles Converse Post.
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p
1
2
r
3
4
6
5
s
7
8
The Perpendicular Transversal Theorem
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Some Miscellaneous questions
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Which 2 lines are parallel?
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Which 2 lines are perpendicular?
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What kind of line has a slope of zero?
Horizontal
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Find the slope of the line containing the points
(3,4) and (0,0)
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Find the slope of the line containing the points
(0,4) and (0,0)
Undefined
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Find the slope of the line containing the points
(-2,5) and (0,0)
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p

r
75o
75o
x
s

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p

55o
r
55o
x
s

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65o
x
115o

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p

r
45o
s
135o
x

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p
110o
r
60o
s
70o
t
Which lines are parallel?
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p
110o
70o
r
60o
s
70o
t
Which lines are parallel?
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(No Transcript)
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(No Transcript)
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(No Transcript)
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Blue Red lines are parallel
Find x
67o
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Blue Red lines are parallel
Find y
49o
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The Red and Blue lines are parallel. Find x
Find y
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Remember the Key to setting up equations in
Geometry...
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You usually do one of 2 things - Set two
expressions equal to each other Or.
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-Add expressions together and set their sum
equal to something else.
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Find x
6xo
3xo
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6x3x180 x20
6xo
3xo
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FIND X
(3x10) o
X o
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3x10x90 4x80 x20
(3x10) o
70
X o
20
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7x4
9x-12
Find x
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7x4
60
9x-12
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Find x
7x49x-12 162x 8x
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10x2
9x-12
Find x
9.
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10x2
102
9x-12
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10x-29x-12180 19x-10180 19x190 x10
Find x
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THE END