Question

Determine the theorem that justifies each if-then statement.

Theorems:
• Corresponding Angles Theorem

• Corresponding Angles Converse Theorem

• Same-Side Interior Angles Theorem

• Same-Side Interior Angles Converse Theorem

• Alternate Interior Angles Theorem

• Alternate Interior Angles Converse Theorem

• Same-Side Exterior Angles Theorem

• Same-Side Exterior Angles Converse Theorem

• Alternate Exterior Angles Theorem

• Alternate Exterior Angles Converse Theorem

• Perpendicular/Parallel Line Theorem​

Answer 1

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem

Explanation:

Look at the given angles and see what they are: interior, exterior, alternate, same side, etc.

If the lines are given as parallel, use the theorem.

If you show the lines are parallel, use the converse.

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem