Proving two lines are Parallel

Presentation

•

Mathematics

•

8th Grade

•

Hard

•

CCSS

8.G.A.5

Standards-aligned

Ashley Barton

Used 21+ times

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9 Slides • 3 Questions

Proving two lines are Parallel

by Ashley Barton

What is a proof?

definition: any kind of valid argument that shows how a statement is true.

Different Types of Proofs:

1.) Paragraph: simply a proof that is written in paragraph form.

2.) Two Column: a list of statements, and the reasons that we know those statements are true.

3.) Flow Proofs: uses a diagram to show each statement leading to the conclusion.

Angle Relationships:

We can use these angle relationships to determine if two lines are parallel.

Angle Relationship

Multiple Choice

Which pair of angles must be supplementary so that r is parallel to s?

∠2 and ∠3

∠5 and ∠6

∠4 and ∠10

∠6 and ∠14

Multiple Choice

Line v is a transversal. Which is a true statement?

w // x and x // y

w // x and y // z

w // y and x // z

w // z and x // y

Multiple Choice

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

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

Proving two lines are Parallel

by Ashley Barton

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