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

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

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°

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

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

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

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°

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°

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°

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)

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.

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

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.

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

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