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11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP

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Bell Ringer Review 2 angles are AIA AIA are congruent 4x + 62 = 8x + 2 -2-2 4x + 60 = 8x-4x 60 = 4x 44 X = 15 Angle = 122°

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Quiz Make-Ups: Keoni, Kecia, Mercedes, Lashany, Jerrica, Brishanika, Niesha, Sandy, Jasmin C, Desirae, Juan, China, Jasmine Z.

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11/9 Agenda I CAN apply knowledge of CIA, AIA, and corresponding angles to find missing angles when two parallel lines are cut by 2 or more transversals. 1.Bell Ringer 2.New Material – One Example 3.Guided Practice – Stations 4.Homework – Independent Practice

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New Material (ONE EXAMPLE) Step 1: Break up into 2 problems (2 transversals). Step 2: Solve all you can from first transversal. Step 3: Solve for 2 nd transversal Step 4: Use new information to find last angles. 55° = z a b c 100 ° = y d e f Remember: Vertical angles are congruent Corresponding angles are congruent Alternate interior angles are congruent Consecutive interior angles are supplementary. Linear pairs are adjacent and supplementary. t1t1 t2t2 L2L2 L1L1

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New Material (ONE EXAMPLE) 55° = z a b c 100 ° = y d e f t1t1 t2t2 L2L2 L1L1 Step 1: Find a, b, and c using 1 transversal. a Relationship to z: CIA (+ to 180) Therefore: 180 – 55 = 125° b Relationship to z: Corresponding ( ) Therefore: b = 55° c Relationship to z: AIA ( ) Therefore: c = 55°

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New Material (ONE EXAMPLE) 55° = z a b c 100 ° = y d e f t1t1 t2t2 L2L2 L1L1 Step 2: Find d and e using 2 nd transversal. d Relationship to y: Linear Pr. Therefore: 180 – 100 = 80° e Relationship to y: ?????? BUT e corresponds with d: e d Therefore: e = 80°

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Theres always a tricky one 55° = z a b c 100 ° = y d e f t1t1 t2t2 L2L2 L1L1 Step 3: Find last missing piece Hint: Angles of a add to 180 Therefore, b + d + f = 180 Well b = 55, d = 80, SO… 55 + 80 + f = 180 135 + f = 180-135 f = 45°

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Stations There are 6 stations around the room. Todays groups are defined by 6 countries in the European Union (EU). Process You will have 5 minutes at each station. You will need a sheet of notebook paper broken up into 6 sections (so I know which problem is which) You need to write what each angle is and how you got each angle. Example: Angle b = 50 because it is AIA with Angle c, which we know is 50. You will hand in your work at the end of class. Worth 10 points (5 for content, 5 for behavior/effort)

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Rules You SHOULD – Work with your group members – Bounce ideas off of each other – Use your vocabulary and Fridays study sheet to help you – Stay at your station for all 5 minutes! – Ask questions first in your group, then ask Mr. C. You SHOULD NOT – Move around the room (moving out of turn costs group points). – Distract others – Be off task – Work with your group members – Bounce ideas off of each other – Use your vocabulary and Fridays study sheet to help you – Stay at your station for all 5 minutes!

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Period 1 Groups Germany: Tasha, Kenneth, Mari, Sinatu, Tieara Portugal: Teia, Kecia, Lashany, Erick L, Lafontae, Amina France: Breniah, Valeria, Conrad, Miguel, Johnny, Spain: Khamyra, Brishanika, Deandra, Trenita, Karla Italy: Joseph, Tracia, Keoni, James, Nijee Poland: Mercedes, ShaQuilla, Jerrica, Brandey, Erik A.

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Period 7 Germany: Kristina, Alyeyah, Barbara, Kaneisha, DAntoinette Portugal: Selena, Christal, Juwan, Nicole, Brian L France: Julian, Emmanuel, Dalia, Jovanny, Mercedes Spain: Tiffany, Chelsea, Jasmine R, Tatyana, Gilbert Italy: Katie, Niesha, Bryan, Raven, Leslie Poland: Santrell, Yakeemah, Jasmine S, Aaron

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Period 8 Groups Germany: China, Allan, Jasmine T, Vanessa, Desirae, Daniel Mart., Portugal: Cristian H, Ida, Lorena, Stephanie, Sanjae, Manolito France: Scottie, Jasmin C, Cristian E., Juan, Kristy, Nicole Spain: Brittany, LaTyra, Ariana, Jasmine Z, Mohammad, Daniela Italy: Daniel Mej, Yanet, Arely, Angela, Erandi. Poland: Lucia, Lavitchi, Sandy, Coraima, April, Rosendo.

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Homework Finish the Independent Practice for today. Remember, linear pairs and triangles all add up to 180!

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You will learn to describe relationships among lines, parts of lines, and planes. In geometry, two lines in a plane that are always the same distance.

You will learn to describe relationships among lines, parts of lines, and planes. In geometry, two lines in a plane that are always the same distance.

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