3. Mr. Garber & Ms. Hain Practice: Prove Theorems about Parallel Lines Statements 1) Lines p and q are parallel 2) mz1 110° 3) 22 슬 21 Reasons Given Given Corresponding Angles Theorem - -- 4) mz2 = 110° Substitution 9) What Theorem would you use to prove that 23 42? 10) If mz1= mz2 and mz2 =mz3, then which Theorem would be the reason that mz1 = mz3? 11) What line(s) would you add to Statement the proof above to prove that Reason 5) 5) mz3 = 110°? %3D 6) 6) 12) Proof: The Alternate Exterior Angles Theorem At Prove that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are 2, d. congruent. [Use the diagram on the right ] b. Statement Reason Use the list (The list is out of order) 1) p || q (p is parallel to q) Vertical Angles are Congruent 1) 2) 1 2 Transitive Property 2) 3)22 3 Given 3) 4) 21 스 23 Corresponding Angles Theorem () Wrap Up; Daily Checklist DI correctly answered what is given and what is to be proven OI was able to follow each step of at least one proof OI worked well with my partner

3. Mr. Garber & Ms. Hain Practice: Prove Theorems about Parallel Lines Statements 1) Lines p and q are parallel 2) mz1 110° 3) 22 슬 21 Reasons Given Given Corresponding Angles Theorem - -- 4) mz2 = 110° Substitution 9) What Theorem would you use to prove that 23 42? 10) If mz1= mz2 and mz2 =mz3, then which Theorem would be the reason that mz1 = mz3? 11) What line(s) would you add to Statement the proof above to prove that Reason 5) 5) mz3 = 110°? %3D 6) 6) 12) Proof: The Alternate Exterior Angles Theorem At Prove that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are 2, d. congruent. [Use the diagram on the right ] b. Statement Reason Use the list (The list is out of order) 1) p || q (p is parallel to q) Vertical Angles are Congruent 1) 2) 1 2 Transitive Property 2) 3)22 3 Given 3) 4) 21 스 23 Corresponding Angles Theorem () Wrap Up; Daily Checklist DI correctly answered what is given and what is to be proven OI was able to follow each step of at least one proof OI worked well with my partner

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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