11/9 bell ringer copy the diagram and solve for x. 8x + 2 4x + 62 homework: complex drawings ip
TRANSCRIPT
![Page 1: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/1.jpg)
11/9 Bell RingerCopy the diagram and solve for x.
8x + 2
4x + 62
Homework: Complex Drawings IP
![Page 2: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/2.jpg)
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°
![Page 3: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/3.jpg)
• Quiz Make-Ups: Keoni, Kecia, Mercedes, Lashany, Jerrica, Brishanika, Niesha, Sandy, Jasmin C, Desirae, Juan, China, Jasmine Z.
![Page 4: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/4.jpg)
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
![Page 5: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/5.jpg)
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
![Page 6: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/6.jpg)
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°
![Page 7: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/7.jpg)
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°
![Page 8: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/8.jpg)
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°
![Page 9: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/9.jpg)
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)
![Page 10: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/10.jpg)
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!
![Page 11: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/11.jpg)
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.
![Page 12: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/12.jpg)
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
![Page 13: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/13.jpg)
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.
![Page 14: 11/9 Bell Ringer Copy the diagram and solve for x. 8x + 2 4x + 62 Homework: Complex Drawings IP](https://reader036.vdocument.in/reader036/viewer/2022082805/5514405a550346414e8b490a/html5/thumbnails/14.jpg)
Homework
• Finish the Independent Practice for today.
• Remember, linear pairs and triangles all add up to 180!