11/9 bell ringer copy the diagram and solve for x. 8x + 2 4x + 62 homework: complex drawings ip

11/9 Bell RingerCopy 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 -24x + 60 = 8x-4x -4x

60 = 4x 4 4 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 Ringer2.New Material – One Example3.Guided Practice – Stations4.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 2nd transversal

• Step 4: Use new information to find last angles.

55° = z

ab

c100 ° = yd

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.

t1 t2

L2

L1

New Material (ONE EXAMPLE)

55° = z

ab

c100 ° = yd

e

f

t1 t2

L2

L1

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

ab

c100 ° = yd

e

f

t1 t2

L2

L1

Step 2: Find d and e using 2nd transversal.

d Relationship to y: Linear Pr.Therefore: 180 – 100 = 80°

e Relationship to y: ??????BUT e corresponds with d: e dTherefore: e = 80°

There’s always a tricky one

55° = z

ab

c100 ° = yd

e

f

t1 t2

L2

L1

Step 3: Find last missing piece

Hint: Angles of a ∆ add to 180

Therefore, b + d + f = 180Well b = 55, d = 80, SO…

55 + 80 + f = 180135 + f = 180-135 -135

f = 45°

StationsThere are 6 stations around the room. Today’s groups

are defined by 6 countries in the European Union (EU).

ProcessYou 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 Friday’s 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 Friday’s study sheet to help you– Stay at your station for all 5 minutes!

Period 1 Groups

Germany: Tasha, Kenneth, Mari, Sinatu, TiearaPortugal: Teia, Kecia, Lashany, Erick L, Lafontae,

AminaFrance: Breniah, Valeria, Conrad, Miguel, Johnny,

Spain: Khamyra, Brishanika, Deandra, Trenita, Karla

Italy: Joseph, Tracia, Keoni, James, NijeePoland: Mercedes, Sha’Quilla, Jerrica, Brandey,

Erik A.

Period 7

Germany: Kristina, Alyeyah, Barbara, Kaneisha, D’Antoinette

Portugal: Selena, Christal, Juwan, Nicole, Brian LFrance: Julian, Emmanuel, Dalia, Jovanny,

MercedesSpain: Tiffany, Chelsea, Jasmine R, Tatyana, Gilbert

Italy: Katie, Niesha, Bryan, Raven, LesliePoland: 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!