Name: Period: 9/28 10/7

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1 Nae: Period: 9/ 0/ LINES & TRANSVERSALS ) I can define, identify and iustrate te foowing ters Transversa Corresponding anges Aternate exterior anges. Aternate interior anges Sae side interior anges Dates, assignents, and uizzes suject to cange witout advance notice Monday Tuesday Bock Day Friday 0 /9 Anges wit Quadratics and Systes Quiz Parae Line Proofs Parae Line Teores / Review Anges Fored y Parae Lines & Transversas TEST Wednesday, 9// and Tursday, 9/9/ Parae Line Teores Can you prove te parae ine teores witout using te corresponding anges postuate? Wy not? ) I can prove te parae ine teores. Lines and Transversas Sketcpad Activity ASSIGNMENT: Anges Fored y Parae Lines and Transversas Proofs Workseet pg. - (- odd,,,, -) Friday, 9/0/ Anges Fored y Parae Lines and Transversas (- & -) Wat are te parae ine teores and postuate? ) I can appy parae ine teores and postuates to sove proes. ASSIGNMENT: pg. -9 (, 9-, -, -) Copeted: Copeted: Monday, 0// Anges wit Quadratics and Systes Expain te process needed to set up a syste of euations using te parae ines and transversa. ) I can appy parae ine teores and postuates to sove proes wit ore advanced agera. QUIZ: Identifying Ange Pairs (Vocauary) ASSIGNMENT: Parae Lines Wit Agera Workseet Grade: Copeted:

2 Tuesday, 0// Parae Lines Proofs How can using transitive property of congruence instead of te sustitution property of euaity save you work in a proof? ) I can prove ange reationsips using a two-coun proof. ) I can prove ines are parae using a two-coun proof. ASSIGNMENT: Parae Proofs Workseet Copeted: Wednesday, 0// and Tursday 0// Review I can assess y strengts and weaknesses of a previousy earned ateria. ASSIGNMENT: Design Your Own City Project (Counts as a uiz grade) Grade: ASSIGNMENT: Review Workseet Friday, 0// Test Lines and Transversas I can deonstrate knowedge skis, and reasoning aiity of ALL previousy earned ateria. ASSIGNMENT: Test # Grade:

3 Nae Period: Anges Fored y Parae Lines and Transversas Proofs Definition: In te picture at rigt, ine is caed a transversa. Definition: For two ines intersected y a transversa, corresponding anges are a pair of anges tat ie on te sae side of te transversa and on te sae sides of te two oter ines. For exape, in te picture at rigt, & are corresponding, & are corresponding, as we as & and &. Corresponding Ange Postuate: If two parae ines are cut y a transversa, ten te pairs of corresponding anges are congruent. You wi e using tis postuate and te picture aove to write te foowing proofs. Two of te are copeted as exapes; you need to use tis new postuate and te previousy earned definitions, teores, or postuates to fi in te reasons. t. Given: t. Given: t Prove: Prove: Stateent. t... Reason Given Corresponding s post.. Given: t. Given: t Prove: and are suppeentary Prove: and are suppeentary Stateent. t.. =. and are supp.. + = 0. + = 0. and are supp. Reason

4 Parae Lines Wit Agera Reeer drawings are not necessariy drawn accuratey! : Find te vaue of x in eac uestion given tat ines and are parae. Ceck your answers y finding te easure of eac ange. C = x 0; ) F = x + 0 ) D = x + ; F = x 9 B = ( x + 0); ) G = x + : Find te vaue of x in eac uestion given tat ines and are parae. Ceck your answers y finding te easure of eac ange. = x + ; ) = x G E F H A B C D ) = x 0; = x + ) = x + 9; = ( x + 0) ) Given n and s t, and =, find = = 0 = = = = = = = = = = 9 0 = = = = = 9 0 n = = 9 = = 0 = 9 = t s

5 0: Given, find te vaue(s) of x and eac ange. Be sure to ceck for extraneous soutions. ) = + x ; = x + 9) = x x ; = x + 0 0) = x x ; = x + : Given p t, find te vaue(s) of eac variae and eac ange. p t ) = x y = x y = x + y ) = + a = a + = a + ) = s t = 9s + t = s + t ) Given tat = x + 0and = x + 0, find te vaue of x,, Write a two-coun proof. ) Given: Prove: and are suppeentary ) Given: and a Prove: 0 9 a

6 Nae: Per: Parae Proofs Workseet Instructions: On a separate piece of paper, write a two-coun proof for eac proe.. Given: = (0 x ). Given: and are suppeentary = (x + 9) Prove: x = Prove: p t p. Given: a, Prove: and are suppeentary 0 9 a A. Given: = = D E Prove: = B C s t.given: & are suppeentary r Prove: p p r. Given: HJ LM HG LK Prove: = H G K Q L J M

7 Nae: Period: Review: Parae Lines and Transversas Eac earning target as one exape proe isted in part (a). Sove it, ten go ack to your assignents, find a siiar proe (or ake up your own), write it down and sove it in part (). I can define, identify and iustrate te vocauary words fro y unit pan. See Tuesday s uiz for exapes of vocauary uestions. For uestions, sove for te variae(s) and find a ange easures. Use te to ceck your work! I can appy parae ine teores and postuates to sove proes.. a. = (0x + ) = (0x + ). a. (x + ) (x 0). a. (x + ) (x ). a. a a (0 x + ) (x + 9) I can appy parae ine teores and postuates to sove proes wit advanced agera.. a. = ( x + 9) = (x + ). a. k k (x + x) (x )

8 .. a. ( x + y) (x + y) (x + y) 9. a. p p = ( x + y) = (x + y) = ( x y) I can prove ange reationsips using a two-coun proof. 0. a. Given: ; a Prove: 0 9 a I can prove ines parae using a two-coun proof.. a. Given: and are suppeentary. Prove: n n