Proving Lines are Parallel with Transversals

Why are the snails worried about their paths crossing?

• They are trying to find their way home.

• They are racing each other.

• They might crash into each other.

• They are looking for food.

What is a transversal in the context of parallel lines?

• A line that intersects two or more lines.

• A line that is perpendicular to another line.

• A line that forms a right angle with another line.

• A line that runs parallel to another line.

How many different angles does a transversal create when it intersects two lines?

• 6

• 4

• 10

• 8

What does the Corresponding Angles Converse postulate state?

• If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

• If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.

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

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

Which angles are considered corresponding angles?

• Angles 2 and 6

• Angles 1 and 7

• Angles 2 and 8

• Angles 3 and 5

What does the Alternate Exterior Angles Converse theorem state?

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

• If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.

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

• If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

Which angles are considered alternate exterior angles?

• Angles 2 and 8

• Angles 2 and 6

• Angles 3 and 7

• Angles 4 and 6

What does the Consecutive Interior Angles Converse theorem state?

• If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

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

• If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.

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

Which angles are considered consecutive interior angles?

• Angles 2 and 8

• Angles 3 and 6

• Angles 1 and 7

• Angles 4 and 6

What does the Alternate Interior Angles Converse theorem state?

• If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.

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

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

• If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.