SECTIONS 3.1 & 3.3TRANSVERSALS & ANGLES

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PARALLEL LINESWhat do you know about parallel lines?

How would you define parallel lines?

H G

D C

A B

E F

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SKEW LINES

H G

D C

A B

E F

Parallel lines (ll) – coplanar lines that do not intersect

l ll m

Skew lines – non-coplanar lines that do not intersect.

Parallel Planes – Two planesthat never intersect.

l m

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H G

D C

A B

E F

1. Line AB & Line DC are ____________

2. Line AB & Line EF are ____________

3. Line BC & Line AH are ____________

4. Plane ABC & Plane HGF are _________

5. Line AC & Line HG are ___________

A)Parallel

B)Skew

PRACTICE 4/13

INTERSECTING LINESWhen two lines intersect a number of angle

types are formed, Vertical Angles & Linear Pairs.

m

t

1 2

34

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Perpendicular Lines - Coplanar lines that intersect to form four right angles. (Symbol )

PERPENDICULAR LINES

m

hm h

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TRANSVERSALA transversal is a line, ray or segment that intersects two or more coplanar lines.

mt

g

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ANGLES FORMED BY A TRANSVERSAL

mt

g

1 2

34

5 6

78CORRESPONDING ANGLES

ALTERNATE INTERIOR

ALTERNATE EXTERIOR

CONSECUTIVE INTERIOR (SAME SIDE INTERIOR)

CONSECUTIVE EXTERIOR (SAME SIDE EXTERIOR)

INTERIORINTERIOR

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ANGLES FORMED BY A TRANSVERSAL & PARALLEL LINES

mt

g

1 2

34

CORRESPONDING ANGLES 1 5, 2 6, 3 7, 4 8

ALTERNATE INTERIOR 4 & 6, 3 & 5

ALTERNATE EXTERIOR 1 & 7, 2 & 8

CONSECUTIVE INTERIOR (SS INTERIOR) 4 & 5, 3 & 6

CONSECUTIVE EXTERIOR (SS EXTERIOR) 1 & 8, 2 & 7

5 6

78

INTERIOR

INTERIOR

m g| |

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PRACTICE

m

t

g

1 2

34

56

78

9 10

1211

1314

1516

h

m g| |

m4 = 125m14 = 85

10/13

2 17x m

t

g

65

PRACTICE

m g| |

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MH12222222222222 2

EK12222222222222 2

GJH

In the diagram below, and are parallel lines

intersected by . What is the measure of ?

PF12222222222222 2

PRACTICE 12/13

HOMEWORK 3.1 & 3.3

P. 132 6 – 17

P. 146 8 – 26

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