3.3 Proofs with Parallel Lines

​3.3 Proofs with Parallel Lines

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"Never regard study as a duty but as the enviable opportunity to learn."

​

​-Albert Einstein

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Multiple Choice

Which condition will prove that line l is parallel to line m? #10

• ∠1 ≅ ∠3

• ∠3 ≅ ∠5

• ∠1 ≅ ∠6

• ∠6 ≅ ∠5

Multiple Choice

Which could be used to prove the lines are parallel? #15

• Converse of the Alternate Interior AnglesTheorem

• Converse of the Same-Side (Consecutive Interior) Angles Postulate

• Converse of the Corresponding Angles Theorem

• Cannot be proved parallel

Multiple Choice

Why are the two lines parallel or not parallel? #19

• Converse of the Corresponding Angles Theorem

• Converse of the Alternate Interior Angles Theorem

• Converse of the Alternate Exterior Angles Theorem

• Converse of the Consecutive Interior(Same-Side Interior) Angles Theorem

• Not Enough Information to Prove Parallel

Multiple Choice

Which of the following is the reason the two lines are parallel? #21

• The Converse of the Corresponding Angles Theorem

• The converse of the Alternate Interior Angles Theorem

• The converse of the Alternate Exterior Angles Theorem

• The Converse of Consecutive Interior (Same-Side Interior) Angles Theorem

• Not Enough Information to Prove Parallel

Multiple Choice

Solve for x. #25

• A

• B

• C

• D

Multiple Choice

Find the measure of the angle indicated in bold. #28

• A

• B

• C

• D

Fill in the Blanks

Multiple Choice

Find the measure of the angle indicated in bold. #27

• A

• B

• C

• D

Multiple Choice

What value of x would make the lines parallel? #36

• 13

• 35

• 37

• 78

• 102

Multiple Choice

If ∠5 ≌∠7, which of the following can be concluded? #33

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

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Multiple Choice

When constructing a line parallel to a given line, you will be... #2

• copying a segment

• bisecting a segment

• copying an angle

• constructing a perpendicular

Multiple Choice

In the image, line RS is _______ to line JQ. #3

HINT: CORRESPONDING ANGLES PROVE WHAT?

• parallel

• congruent

• similar

• perpendicular

Multiple Choice

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing? #1

• a line through P parallel to line l

• a line through P intersecting line l

• a line through P congruent to line l

• a line through P perpendicular to line l

Multiple Choice

The students in Mr. Beal’s class were asked to construct a line parallel to line MN through point O. Four different student responses. Which student appears to have done the construction correctly? #6