3.4 Prove Lines Parallel

Front

What is the Converse of the Alternate Interior Angles Theorem?

Back

If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What is the Converse of the Corresponding Angles Postulate?

Back

If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What is the Converse of the Same-Side Interior Angles Theorem?

Back

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

Tags

CCSS.8.G.A.5

Front

What are Alternate Interior Angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines.

Tags

CCSS.8.G.A.5

Front

What are Corresponding Angles?

Back

Angles that are in the same position on two parallel lines in relation to a transversal.

Tags

CCSS.8.G.A.5

Front

What are Same-Side Interior Angles?

Back

Angles that are on the same side of the transversal and inside the two lines.

Tags

CCSS.8.G.A.5

Front

What does it mean for lines to be parallel?

Back

Lines that never intersect and are always the same distance apart.

Tags

CCSS.HSG.CO.A.1

Front

If ∠3 ≅ ∠5, what can be concluded about lines l and m?

Back

Lines l and m are parallel by the Converse of Corresponding Angles Postulate.

Tags

CCSS.8.G.A.5

Front

If ∠1 ≅ ∠3, what can be concluded about lines l and m?

Back

Lines l and m are parallel by the Converse of Alternate Interior Angles Theorem.

Tags

CCSS.8.G.A.5

Front

What is a transversal?

Back

A line that intersects two or more lines at different points.

Tags

CCSS.8.G.A.5