Write the converse of each theorem/postulate and draw a diagram representing each converse.

1. If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent.

2. If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate interior angles that are congruent.

3. If two lines are parallel with an intersect of a transversal, then the two lines and transversal form same-side interior angles that are supplementary.

4. If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate exterior angles that are congruent.

5. If two lines are parallel intersected by a transversal, then the two lines and transversal form same-side exterior angles that are supplementary.

1. Corresponding Angles Postulate If two lines are parallel with an intersect of a

transversal, then the two lines and a transversal forms corresponding angles that are congruent.

• Converse of the Corresponding Angles Postulate: If two lines and a transversal form corresponding angles that are congruent, then two lines are parallel.

2. Alternate Interior Angles Theorem If two lines are parallel intersected by a

transversal, then the two lines and a transversal form alternate interior angles that are congruent.

• Converse of the Alternate Interior Angles Theorem: If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.

3. Same-side Interior Angles TheoremIf two lines are parallel with an intersect of a

transversal, then the two lines and transversal form same-side interior angles that are supplementary.

• Converse of the SSIA Thm: If two lines and a transversal form SSIA that are supp, then the two lines are parallel

4) Alternate Exterior Angles TheoremIf two lines are parallel intersected by a

transversal, then the two lines and a transversal form alternate exterior angles that are congruent.

Converse Alternate Exterior Angles TheoremIf two lines and a transversal form AEA that are

congruent, then the two lines are parallel

5) Same Side Exterior Angles Thm If two lines are parallel intersected by a

transversal, then the two lines and transversal form same-side exterior angles that are supplementary.

Converse of SSEA Thm If two lines and a transversal are SSEA that are

supp, then the two lines are parallel

Find the value for x that would prove line a and line b are parallel

62

7x – 8 b

a

Find the value for x that would prove line a and line b are parallel

2x+6

40

b

a

Groups

1. Cassal, kira, nathan, merrick2. Daniel, alexandria, safha, cassidy3. Elena, naman, jeet, tristan4. Jake, jake, chandler, krizelle5. Ben, harleen, sarah, sam6. Brandan, Samantha, Katelyn7. Elli, andre, tyler8. Chris, lauren, kay9. Cody, bhuvan, Peyton

Proving Converse of AEA Thm: If two lines and a transversal from alternate exterior angles that are

congruent, then the two lines are parallel.

4

1

2

Workbook in Groups

Do NOT write in the workbook, copy the problem and diagram down in your notes and solve it.

Page 295 #2-4, 8-10

Write a two column proof

Given: a b, <12 is congruent to <8

Prove : j k

Exit Pass: Write a two column proof

Proving The Converse of the Same Side Interior Angles Theorem

Given: <1 and <2 are supplementary.Prove: j ll k