Problem 1 Identifying Parallel LinesWhich lines are parallel if 6 ∠ ≌ ∠7? Justify your answer.

Circle the correct justification to complete each sentence

o 6 ∠ ≌ ∠7 is given/to prove.

o 6 and ∠ ∠7 are alternate/same-side angles.

o 6 and ∠ ∠7 are corresponding/exterior/interior angles.

o I can use the Corresponding Angles Theorem/Converse of Corresponding Angles Theorem to prove the lines are parallel.

o Using 6 ∠ ≌ ∠7, lines a and b/ l and m are parallel and the transversal is a/b/l/m.

GUIDED NOTES

TheoremsTheorem If Then

Theorem 3-4 Converse of the Corresponding Angles Theorem

If…

two lines and a transversal form (insert angle name here) angles,Then…

the lines are parallel.Theorem 3-5 Converse of the

Alternate Interior Angles Theorem

Theorem 3-6 Converse of the Same-Side Interior Angles Theorem

Theorem 3-7 Converse of the Alternate Exterior Angles Theorem

Problem 2 Writing a Flow Chart Proof of the Converse of the Same-Side Interior Angles ThmGIVEN: ∠1 ≌ ∠7PROVE: ∠3 ≌ ∠5

Problem 3 Using AlgebraWhat is the value of w for which c||d? State the Theorem that allows you to make this conclusion.

Which sides of the quadrilateral are parallel? Explain why in a few sentences.

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converse

Homework: Sec 3.3 page 160 #7-11, 13-20, 47-50