i heard we have to make a bunch of note cards again. yeah, probably one for every type of angle...
TRANSCRIPT
![Page 1: I heard we have to make a bunch of note cards again. Yeah, probably one for every type of angle formed by parallel lines cut by a transversal. I love](https://reader030.vdocument.in/reader030/viewer/2022032723/56649f565503460f94c7a3a5/html5/thumbnails/1.jpg)
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I heard we have to make a bunch of note cards again.
Yeah, probably one for every type of angle
formed by parallel lines cut by a transversal.
I love math!!!!
At least we don’t have to memorize everything. The
note cards are great on tests!
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Parallel lines are lines in the same plane that never intersect.
A transversal is a line that intersects two or more lines in a plane at different points.
There are eight angles formed by the transversalintersecting the lines.
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Intersecting lines are lines that cross each other. They have a point in common.
A transversal can also intersect intersecting lines.
Eight angles are still formed.
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Alternate Interior Angles
• opposite sides of the transversal
• both angles are interior angles
• do NOT share a vertex
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Identify a pair of alternate interior angles.
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Consecutive Interior Angles
• same side of the transversal
• both angles are interior angles
• do NOT share a vertex
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3 4
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Identify a pair of consecutive interior angles.
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WHITE NOTE CARD:
Alternate Interior Angles
• opposite sides of the transversal• both angles are interior angles
• do NOT share a vertex
X
X
0
0
Consecutive Interior Angles
• same side of the transversal
• both angles are interior angles
• do NOT share a vertex
X
X
0
0
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Corresponding Angles
• same side of the transversal
• one interior and one exterior angle
• do NOT share a vertex
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3 4
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Identify a pair of corresponding angles.
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WHITE NOTE CARD:
Corresponding Angles
• same side of the transversal
• one interior angle, one exterior angle
• do NOT share a vertexX
X
0
0
☺
☺
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Alternate Exterior Angles
• opposite sides of the transversal
• both exterior angles
• do NOT share a vertex
1 2
3 4
5
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Identify a pair of alternate exterior angles.
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Consecutive Exterior Angles
• same side of the transversal
• both exterior angles
• do NOT share a vertex
1 2
3 4
5
67
8
Identify a pair of consecutive exterior angles.
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WHITE NOTE CARD:
Alternate Exterior Angles
• opposite sides of the transversal• both angles are exterior angles• do NOT share a vertex
X
X
0
0
Consecutive Exterior Angles
• same side of the transversal
• both angles are exterior angles
• do NOT share a vertexX
X
0
0
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If two parallel lines are cut by a transversal, then . . .
• alternate interior angles are congruent.
• consecutive interior angles are supplementary.
• corresponding angles are congruent.
• alternate exterior angles are congruent.
• consecutive exterior angles are supplementary.
Add this information about the relationship between the angle measures to each note card.
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If the lines cut by a transversal are NOT parallel, then no relationship exists between the pairs of angles EXCEPT vertical angles. Vertical angles are always congruent.
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100° 2
3 4
5
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a // b and c is the transversal.
a
b
c
Find the measure of each angle. Explain how you determined the measure.
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1 95°
3 4
5
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x // y and z is the transversal. What other angle measures can you find?
x
y
z
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Are we done with the note cards yet?
Yes, now it is time to solve some
equations!