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)
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!
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.