1. Happy Monday Homework: Please do the following:
Pick up the papers from the front table.
WARM-UP
Homework:
HW #2: Worksheet ( in class)
HW #3: Proof Practice
Extra Credit-Valentines Day Activity

2. Intro to Congruent Triangles
Agenda
Group Posters
Intro to Congruent Triangles

3. Office Hours! Everyday at lunch Thursday= FLEX ( leaving at 3:15).
1 min

4. Learning Objective(s)
By the end of this period you will be able to:
Use properties of congruent triangles
Apply SSS and SAS to construct triangles and to solve problems

5. Feedback
Remember if you haven’t done so already, take the survey and then me the screenshot. The link is on my website

6. Period 1- Did we do whiteboards?

7. Whiteboards
Grab a whiteboard!

8. Name the included angle in each triangle.
Quick Check!
Name the included angle in each triangle.
 I
 H
 G

9. Quick Check
If triangles are similar, what is true about corresponding sides and angles?
If triangles are congruent, what is true about corresponding sides and angles?
What is the difference between similarity and congruence?

10. Triangle Congruence
Instead of having to prove that all sides and angles are congruent in order to prove that triangles are congruent, we are going to learn 5 shortcuts.
There are five ways to prove triangles are congruent:
SSS
SAS
ASA
AAS HL
Have students on their whiteboards draw what they think ASA and AAS look like…..

11. Notes
Triangle Congruence Conjectures Fill in the blanks as we go along. I will give you time to glue the paper into your composition notebook. We will go over Examples and Non-Examples. You may want to draw more down in your notebook!

12. SSS and SAS Side–Side–Side Congruence (SSS)
If all three pairs of corresponding sides have equal length, then ≅
What is a possible congruent statement for the figures?
ABC FDE

13. Examples
Non-Examples

14. Side-Angle-Side Congruence
Side–Angle–Side Congruence (SAS)
If two pairs of corresponding sides have equal length and the angle in between them are equal, then ≅.
What is the possible congruence statement for the figures?
ABC EFD

15. Example/ Non-Examples

16. 4-4 Triangle Congruence: SSS and SAS
Angle–Side–Angle Congruence (ASA)
If two angles and the side between them are congruent to the corresponding angles and the side, then ≅
What is a possible congruent statement for the figures?
ABC FDE

17. ASA
Examples
Non-Examples

18. Angle-Angle-Side Congruence
Angle-Angle-Side(AAS)
If two pairs of corresponding angles and a pair of corresponding sides that are not between the angles have equal measures, then ≅
What is the possible congruence statement for the figures?
ABC EFD

19. Example/ Non-Examples: AAS

20. Whiteboard! On your whiteboard, draw a right triangle
Label the legs of the triangle
Label the hypotenuse
It is given that AC  DC and that AB  DB. By the Reflexive Property of Congruence, BC  BC. Therefore ∆ABC  ∆DBC by SSS.

21. Hypotenuse-Leg (HL) Congruence
Hypotenuse-Leg Congruence (HL)
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
IMPORTANT: The hypotenuse is ALWAYS across from the right angle ( highlight this in your notes)
ABC EFD

22. Examples/Non-Examples: HL

23. Math Joke of the Day
What do you call a broken angle?
A rectangle!

24. Identify the postulate or theorem that proves the triangles congruent.
Whiteboards
Identify the postulate or theorem that proves the triangles congruent. HL
ASA
ASA HL
SAS or SSSS
SAS or SSS

25. Whiteboard Flash! I am going to show you two triangles
You are going to write down whether they are congruent by SSS, SAS, AAS, ASA, or HL!
Once your entire table thinks they have it correct, STAND UP!
First table to have ALL their members stand up with the correct statement wins that round.
Note: The triangles might not be congruent. If so, state they are not congruent.
ABC EFD

26. Flash Warm-Up!
I will show a picture and you will write on your whiteboard what triangle congruence postulate you should use to prove the triangles are congruent.
Recall the possible postulates are:
SSS (1)
SAS
ASA
AAS

27. Flash Do Now!
(2)

28. Flash Do Now!
(2)

29. Flash Do Now!
(2)

30. CHALLENGE: Flash Do Now!
(3)

31. Classwork #2
ABC EFD

32. Homework #2
ABC EFD

33. Kahoot! Only ONE person needs his/her phone
Go to kahoot.it on your Safari browser ( or other browser)
Type in the game-pin that you see on the whiteboard
Create a nickname for you and your partner ( MUST be school appropriate)
Is your name on the whiteboard?
The question will appear on the whiteboard and then you have to answer it on the phone! ( multiple choice). You will see if you got it correct! It will keep score so I can see who is the winning team! You will get a treat!
ABC EFD

34. Classwork #3
Complete the front side. When done, try to do the back. 2 column proofs are very similar to flow chart proofs. They are just organized in a different way.

35. Around the World
Open up your composition notebook to the next page and title it Around the World.
I have posted around the room 4 questions on yellow paper. You will go the question closest to your table and copy down the problem into your notebook. Then you will answer the question. Write down the letter that was on the bottom of the yellow paper.
Once you get a solution you will go look around at the other yellow papers and at the bottom of one of the papers should be your solution. That is the next problem you will attempt. Also write down the letter.
If you are successful, you should go to each question and end up at the question you started at.
When done, you will have 4 letters and unscramble them to make a word.

36. Around the World-Expectations
Show ALL work. Do not just copy your table-mates solutions or the solutions on the whiteboard.
Help each other out.
No yelling and/or running.
I will give you 15 minutes for this activity.
When done, you will show MS. Huls all your work and she will put your grade in Synergy at that time.
BE ON TASK!

37. HW #3
On Front:
You are going to find my mistakes and fix them! I gave you a hint on how many mistakes I made on each proof
On back:
Write your own two-column proofs!!!

38. Posters Pick a partner you want to work with
I am going to give you a proof and you are going to first write it in your notebook. When done, raise your hand and I will give you poster paper
On poster:
Draw the picture
Write a two-column proof
Write down what was hard about the proof ( was it vertical angles, reflexive property, HL, etc? )
You and you partner are going to present your proof to the class.

39. Valentine Activity: Extra Credit
For extra credit you will be writing a letter to a loved one. This loved one can be your parent, sibling, or partner .
Let’s brainstorm vocabulary words that we have learned so far this year.
You must use at least 10 vocab words. I will be collecting this on Thursday/Friday.
No late extra credit will be accepted.
Can be typed and ed to me or hand-written.

40. Examples
To my Valentine: Our love is like an irrational equation; it can’t be simplified. You are a factor of my life. If we distribute our love, we can be together forever. Together, we make a perfect square. I love you like a coefficient loves its variable. You are the square to my root, the solution to all of my equations. The slope of my love for you is ever increasing. We fit together like coordinates on an axis

41. Examples
Yesterday, I was passing by your rectangular house in trigonometric lane. There I saw you with your cute circular face, conical nose and spherical eyes, standing in your triangular garden.

42. Examples