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EXAMPLES

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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