Unformatted text preview: lr  lw 1..
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9. Parallel Lines
Congruent
Coplanar Lines
Transversal
Parallel Lines
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Vertical Angles Two or more lines are parallel if and only if they are in the same plane and they do not intersect. (line w and r)
lr lw
lr  lw Two figures that have the exact same size and shape (example: two angles that have the same measurement are congruent) = 122 Degrees lr = 122 Degrees lw
lr  lw A line intersecting two or more coplanar lines. (lines r and w) lr lw
lr  lw If two parallel lines are cut by a transversal, then …… Corresponding angles are congruent, Alternate Interior angles are congruent, . . . . And . . . . Alternate Exterior angles are congruent. 11 1
lr 2
3 44
55 lw 6
7 88 If two parallel lines are cut by a transversal, then Corresponding angles are congruent. 1
lr 2
3 4
5 lw 6
7 lr  lw 8 If two angles are Vertical angles, then they are also congruent. 1
lr lw 2
3 4
5 6
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lr  lw 8 If two parallel lines are cut by a transversal, then Alternate Exterior angles are congruent.
1 2 lr lw 7
lr  lw 8 If two parallel lines are cut by a transversal, then Alternate Interior angles are congruent. lr 3 4
5 lw
lr  lw 6 58 ˚ 58 ˚
lr lw 2
3 458 ˚ 58˚ 5
58 ˚ 6
7 8 58˚ lr  lw
If angle 1 = 58 ˚ then angle 5 = 58 ˚ because they are corresponding angles, which are congruent to each other Since angle 1 = 58 ˚ then angle 4 = 58 ˚ and since angle 5 = 58 ˚ then angle 8 = 58 ˚ because they are vertical angles, which are congruent to each other 58 ˚ lr 122˚
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3 122 ˚ 4
5 lw 6
122 ˚
7
122
˚ 8 lr  lw
If angle 1 = 58 ˚ then angle 2 = 122 ˚ because the two angles form a line,
which is equal to 180 ˚
Since angle 2 = 122 ˚ then angle 7 = 122 ˚ because they are Alternate Exterior angles, which are congruent to each other.
Since angle 3 = 122 ˚ then angle 6 = 122 ˚ because they are Alternate Interior angles, which are congruent to each other. Compass Clipart from Microsoft Office
All other animals – pictures created by Michelle A. O’Malley
Serra, Michael. Discovering Geometry. Berkeley: Key Curriculum Press, 1997. ...
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 Algebra, Angles, Key Curriculum Press, lr  lw, Michelle A

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