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EXAMPLES
Train tracks Cross roads Building plans Stripes on a flag Park bench Free way Telephone wire Track lanes Chain link fence Football field
CHAPTER 3: PERPENDICULAR AND PARALLEL LINES
3.1 – LINES AND ANGLES
October 10, 2014
VOCAB, VOCAB AND MORE VOCAB… Parallel Lines: If they lie on the same
plane and do not intersect
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen parallel lines in _________, specifically in the way___________.
VOCAB, VOCAB AND MORE VOCAB… Skew Lines: If they lie on different
planes and do not intersect
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen skew lines in _________, specifically in the way___________.
VOCAB, VOCAB AND MORE VOCAB… Parallel Planes: Two planes that do not
intersect
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen parallel planes in _________, specifically in the
way___________.
PARALLEL POSTULATE Parallel Postulate: if there is a line and a
point not on the line, then there is exactly one line through the point parallel to the given line.
PERPENDICULAR POSTULATE Perpendicular Postulate: if there is a
line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
"'':".......:
AND… MORE VOCAB! Transversal: A line that intersects two
or more lines at different points.
Spot thetransversal!
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen transversals in _________, specifically in the way___________.
Corresponding Angles: Two angles that occupy corresponding positions. Corresponding: similar in form
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen corresponding angles in _________, specifically in the
way___________.
Alternate Exterior Angles: Angles that lie on the outside of the two lines and on opposite sides of the transversal.
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen alternate exterior angles in _________, specifically in the
way___________.
Alternate Interior Angles: Angles that lie between the two lines and on opposite sides of the transversal.
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen alternate interior angles in _________, specifically in the
way___________.
Consecutive Interior Angles: (aka same side interior angles) Angles that lie between the two lines and on the same side of the transversal. Consecutive: Back-to-back, following
SENTENCE FRAME:With your partner, use this sentence frame to
describe where and how you have seen this figure in real life…
I have seen consecutive interior angles in _________, specifically in the
way___________.
#1: IDENTIFYING ANGLES FORMED BY A TRANSVERSAL
1
2
What types of angles are demonstrated here?
Answer: Alternate Exterior Angles
#2: IDENTIFYING ANGLES FORMED BY A TRANSVERSAL
3
4
What types of angles are demonstrated here?
Answer: Alternate Interior Angles
#3: IDENTIFYING ANGLES FORMED BY A TRANSVERSAL
5
6
What types of angles are demonstrated here?
Answer: Consecutive Interior Angles
#4: IDENTIFYING ANGLES FORMED BY A TRANSVERSAL
5
6
What types of angles are demonstrated here?
Answer: Corresponding Angles
PARTNER ACTIVITY