If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. Consecutive Exterior Angles Converse Use the diagram below for #14. $16:(5 20 PROOF Copy and complete the proof of Theorem 3.5. Use the Alternate Exterior Angles Converse Theorem. If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel. Don’t Get alternate interior consecutive interior same side interior yet, first read this. Using only premium products from start to finish on each job, we strive to provide a wonderful experience with each customer. alternate exterior angles are congruent. If so, state the postulate or theorem you would use. The following content standards apply for Geometry and … Consecutive exterior angles posted Dec 1, 2012, 4:24 PM by Ray Kim If parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. ANSWER: consecutive interior angles converse 5. Consecutive Exterior Theorem Pairs Congruent Congruent: Geometry Definition: Find x so that m || n. Identify the postulate or theorem you used. Winner of Angie's List super service for 5 consecutive years! 2. Converse Of The Corresponding Angles Postulate search trends: Gallery. Identify the special name for each angle pair. The consecutive and exterior angle theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent. Proving Lines are Parallel (Using Converses) Sort, Cut, and Paste Activity Students will practice identifying parallel lines using the Corresponding Angles Converse, Alternate Interior Angles Converse, Alternate Exterior Angles Converse, and Consecutive Interior Angles Converse. Report an … <3 and <8 are alternate exterior angles of line l and n. Since <3 ≅ <8, l is || to n by the Converse of the Alternate Exterior Angles Theorem. alternate interior angles alternate exterior angles consecutive interior angles Theorems Theorem 3.5 Corresponding Angles Converse If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. Tags: Topics: Question 15 . D corresponding 4. If lines are parallel, then same side exterior angles are supplementary. THEOREM 3.5 Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. 3. Proof: Ex. Swapalease.com, the web’s largest leasing marketplace, has great Toyota lease specials to browse. Proof: Given: k ∥ l , t is a transversal Read More ()( )416 7 20 36 3 12 xx x x +°= − ° = = 2. x = 26; Lines s and t are parallel when the marked consecutive interior angles are supplementary. Consecutive Exterior Angles Converse Theorem: If 2 lines are cut by a transversal so the consecutive exterior angles are _____, then the lines are _____. B. Simply give … Since the TExES Mathematics 7–12 (235) Exam enables one teach High School Math, it's an extremely profitable exercise to scrutinize the Math content standards applicable for High School Math teachers. ∠3 and ∠10 A alternate exterior C consecutive interior B alternate interior 3. Give the converse to justify your answer. Converse of the Alternate Exterior Angles Theorem If two lines are intersected by a transversal so that the alternate exterior angles are congruent, then the lines are parallel. These are expectations for students that every current and prospective Math teacher ought to be familiar with. c and e are Consecutive Interior Angles. (4) ∠1 ≅ ∠5 //(3), the definition of congruent angles (5) AB||CD //converse of the Corresponding Angles Theorem. 3.7) 4. yes; Consecutive Interior Angles Converse (Thm. j || k; converse of corresponding angles postulate $16:(5 j || k; alternate interior angles converse $16:(5 alternate exterior angles converse m 6 + m 8 = 180 $16:(5 consecutive interior angles converse SHORT RESPONSE Find x so that m || n. Show your work. 36, p. 168 THEOREM 3.6 Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are Converse of the Alternate Exterior Angles Theorem If two lines are crossed by a transversal and the alternate exterior angles are congruent, then the lines crossed by the transversal are parallel. How would you show that the lines b and c are parallel? < 13 ≅ <15 f. Theorem 3-10 Converse of the Consecutive Interior Angles Theorem If two lines are intersected by a transversal so that the consecutive interior angles are Check oll that opply. Converse of the Alternate Exterior Angles Theorem If two lines are crossed by a transversal and the alternate exterior angles are congruent, then the lines crossed by the transversal are parallel. When the two lines are parallel, any pair of Consecutive Interior Angles add to 180 degrees.

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