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# Aim: - PowerPoint PPT Presentation

Aim:. B. D. 2). 1). B. D. (. (. 95 . 85 . A. C. A. E. C. E. 3). A. C. 4). ). C. D. ). B. D. A. B. What are the properties of parallel lines?. Do Now:. l. m. 4. 8. Theorem #15:. 3. k. 7. 2.

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B

D

2)

1)

B

D

(

(

95

85

A

C

A

E

C

E

3)

A

C

4)

)

C

D

)

B

D

A

B

What are the properties of parallel lines?

Do Now:

m

4

8

Theorem #15:

3

k

7

2

Corresponding angles formed by a transversal and two parallel lines are congruent.

6

1

5

Theorem #16:

Alternate interior angles formed by a transversal and two parallel lines are congruent.

Theorem #17:

If parallel lines are cut by a transversal, then two interior angles on the same side of the transversal are supplementary.

Theorem #18:

If a line is perpendicular to one of two parallel lines, it is perpendicular to the other.

Properties of parallel lines

Geometry Lesson: Properties of Parallel Lines

G

A

B

a)

C

D

H

F

b)

Ex: Properties of Parallel Lines

Geometry Lesson: Properties of Parallel Lines

B

D

F

H

a)

b)

c)

Ex: Properties of Parallel Lines

Geometry Lesson: Properties of Parallel Lines

Given:

P

Prove:

M

Q

Ex Proof w/parallel lines:

Given

Given

Reflexive Postulate

S.A.S. Postulate

C.P.C.T.C.

Geometry Lesson: Properties of Parallel Lines

N

3) Given:

Prove:

F

Q

D

2) Given:

Prove:

S

Q

M

3) Given:

T

D

Prove:

P

D

M

G

Proofs w/parallel lines:

Geometry Lesson: Properties of Parallel Lines

2

1

3

k

m

A

B

3

4

2

1

D

C

Ex w/parallel lines:

Geometry Lesson: Properties of Parallel Lines