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

Write the converse of each theorem/postulate and draw a diagram representing each converse. . If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent.

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

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  1. Write the converse of each theorem/postulate and draw a diagram representing each converse. • If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent. • If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate interior angles that are congruent. • 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. • If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate exterior angles that are congruent. • If two lines are parallel intersected by a transversal, then the two lines and transversal form same-side exterior angles that are supplementary.

  2. 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.

  3. 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.

  4. 3. Same-side Interior Angles Theorem 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. • Converse of the SSIA Thm: If two lines and a transversal form SSIA that are supp, then the two lines are parallel

  5. 4) Alternate Exterior Angles Theorem If 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 Theorem If two lines and a transversal form AEA that are congruent, then the two lines are parallel

  6. 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

  7. Find the value for x that would prove line a and line b are parallel a 7x – 8 b 62

  8. Find the value for x that would prove line a and line b are parallel 40 a 2x+6 b

  9. Groups • Cassal, kira, nathan, merrick • Daniel, alexandria, safha, cassidy • Elena, naman, jeet, tristan • Jake, jake, chandler, krizelle • Ben, harleen, sarah, sam • Brandan, Samantha, Katelyn • Elli, andre, tyler • Chris, lauren, kay • Cody, bhuvan, Peyton

  10. Proving Converse of AEA Thm: If two lines and a transversal from alternate exterior angles that are congruent, then the two lines are parallel. 1 4 2

  11. 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

  12. Write a two column proof Given: a b, <12 is congruent to <8 Prove : j k

  13. 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

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