Proving Lines Parallel U2L3

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. If these angles are congruent, the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that are on opposite sides of a transversal and outside the two lines. If these angles are congruent, the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What is the significance of corresponding angles in proving lines parallel?

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 does it mean if two lines cannot be proved parallel?

Back

It means that there is insufficient information or the angles do not meet the criteria (such as congruence of alternate interior or exterior angles) to establish that the lines are parallel.

Tags

CCSS.8.G.A.5

Front

How can you determine if two lines are parallel using the concept of same-side interior angles?

Back

If two lines are cut by a transversal and the same-side interior angles are supplementary (add up to 180 degrees), then the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What is the relationship between parallel lines and transversals?

Back

A transversal is a line that intersects two or more lines. The angles formed by this intersection can be used to determine if the lines are parallel.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Tags

CCSS.HSG.CO.A.1

Front

What is the role of the transversal in proving lines parallel?

Back

A transversal creates angles that can be analyzed (such as alternate interior, alternate exterior, and corresponding angles) to determine if the lines it intersects are parallel.

Tags

CCSS.8.G.A.5

Front

What is the theorem related to alternate interior angles?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Tags

CCSS.8.G.A.5

Front

What is the theorem related to corresponding angles?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Tags

CCSS.8.G.A.5