Download Parallel Lines Skew Lines Transversal

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Transcript
Perpendicular Lines
two lines that intersect to form a
right angle
m
Parallel Lines
lines that do not intersect and are
coplanar
m
n
n
m||n
Line m is parallel to line n.
Line m is perpendicular to line n.
mn
Parallel lines have the same slope.
Virginia Department of Education ©2013
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Virginia Department of Education ©2013
Geometry Vocabulary Cards
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Skew Lines
Transversal
lines that do not intersect and are
not coplanar
a line that intersects at least two
other lines
t
m
t
a
x
y
n
b
Line t is a transversal.
Virginia Department of Education ©2013
Geometry Vocabulary Cards
Page 23
Virginia Department of Education ©2013
Geometry Vocabulary Cards
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Corresponding
Angles
Alternate Interior
Angles
angles in matching positions when a
transversal crosses at least two lines
angles inside the lines and on opposite
sides of the transversal
t
t
1
2
3
1
4
a
7
4
3
6
5
b
8
b
Examples:
1) 1 and 4
2) 2 and 3
Examples:
1) 2 and 6
2) 3 and 7
Virginia Department of Education ©2013
2
a
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Virginia Department of Education ©2013
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Alternate Exterior
Angles
Consecutive Interior
Angles
angles outside the two lines and on
opposite sides of the transversal
angles between the two lines and on the
same side of the transversal
t
1
t
2
1
3
a
a
3
4
Geometry Vocabulary Cards
4
b
Examples:
1) 1 and 2
2) 3 and 4
Examples:
1) 1 and 4
2) 2 and 3
Virginia Department of Education ©2013
2
b
Page 27
Virginia Department of Education ©2013
Geometry Vocabulary Cards
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Parallel Lines
t
2
1
3
a
4
6
5
7
8
b
Line a is parallel to line b when
Corresponding angles
are congruent
Alternate interior
angles are congruent
Alternate exterior
angles are congruent
Consecutive interior
angles are
supplementary
Virginia Department of Education ©2013
1  5, 2  6,
3  7, 4  8
3  6
4  5
1  8
2  7
m3+ m5 = 180°
m4 + m6 = 180°
Geometry Vocabulary Cards
Page 29