Download Alternate Interior Angles

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Students will be able to:
◦ Identify relationships between figures in space
 Parallel and skew lines and planes
◦ Identify angles formed by two lines and a
transversal
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Alternate Interior angles
Same-side angles
Corresponding Angles
Alternate Exterior Angles
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Not all lines and not all planes intersect
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Are coplanar lines that do not intersect
Symbolized as: ||
◦ AE || BF
◦ AD || BC
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Noncoplanar
They are not parallel
They do not intersect
AB and CG are skew
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Planes that do not intersect
Plane ABCD || plane EFGH
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A line and plane that do not intersect are
parallel
If a segment or a ray lie on parallel lines then
they are parallel
If a segment or a ray lie on skew lines, then
they are skew
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Identifying Nonintersecting Lines and Planes
Which segments are parallel to AD?
◦ EH, BC, FG
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Name the parallel planes
◦ Planes ABCD and EFGH
◦ Planes ABFE and DHGC
◦ Planes ADHE and BCGF
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What are two segments parallel to plane
DCGH?
◦ AB, EF, BF and AE
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Explain why FE and CD are
not skew
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When a line intersects two or more lines, the
angles formed create special angle pairs.
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A line that intersects two or more coplanar lines
The 8 pairs of angles formed have special
names based on their positions
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Nonadjacent interior angles that lie on
opposite sides of the transversal
<4 and <6
<3 and <5
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Interior angles that lie on the same side of
the transversal
<4 and <5
<3 and <6
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They lie on the same side of the transversal
and in corresponding (the same) position
<1 and <5
<4 and <8
<2 and <6
<3 and <7
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Nonadjacent exterior angles that lie on
opposite sides of the transversal
<1 and <7
<2 and <8
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Name a set of alternate interior angles
◦ <6 and <8
◦ <3 and <2
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Name a set of same side interior angles
◦ <2 and <6
◦ <2 and <8
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Name a pair of corresponding angles
◦ <1 and <3; <7 and <6; <8 and <5; <2 and <4
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Name a pair of alternate exterior angles
◦ <1 and <4
◦ <5 and <7
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Name it Claim it Game
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Pg. 144 – 146
11 – 28 All, 53 – 60 All
26 problems