Happy Monday Please do the following Pick up

Happy Monday 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

Agenda 1. Group Posters 2. Intro to Congruent Triangles

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

Learning Objective(s) By the end of this period you will be able to: ① Use properties of congruent triangles ② Apply SSS and SAS to construct triangles and to solve problems

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

Period 1 - Did we do whiteboards?

Whiteboards Grab a whiteboard!

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

Quick Check 1. If triangles are similar, what is true about corresponding sides and angles? 1. If triangles are congruent, what is true about corresponding sides and angles? 2. What is the difference between similarity and congruence?

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: 1. SSS 2. SAS 3. ASA 4. AAS 5. HL

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!

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

• Examples • Non-Examples

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?

Example/ Non-Examples • Example • Non-Example

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?

ASA • Examples • Non-Examples

Angle-Side Congruence 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?

Example/ Non-Examples: AAS • Example • Non-Example

Whiteboard! On your whiteboard, draw a right triangle 1. Label the legs of the triangle 2. Label the hypotenuse

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)

Examples/Non-Examples: HL • Example • Non-Example

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

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

Whiteboard Flash! I am going to show you two triangles You are going to write down whether they are congruent by SSS, SAS, 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.

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: 1. 2. 3. 4. SSS SAS ASA AAS (1)

(2) Flash Do Now!

(2) Flash Do Now!

(2) Flash Do Now!

CHALLENGE: Flash Do Now! (3)

Classwork #2

Homework #2

Kahoot! ①Only ONE person needs his/her phone ②Go to kahoot. it on your Safari browser ( or other browser) ③Type in the game-pin that you see on the whiteboard ④Create a nickname for you and your partner ( MUST be school appropriate) ⑤Is your name on the whiteboard? ⑥The 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!

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.

Around the World 1. Open up your composition notebook to the next page and title it Around the World. 2. 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. 3. 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. 4. If you are successful, you should go to each question and end up at the question you started at. 5. When done, you will have 4 letters and unscramble them to make a word.

Around the World-Expectations 1. Show ALL work. Do not just copy your table-mates solutions or the solutions on the whiteboard. 2. Help each other out. 3. No yelling and/or running. 4. I will give you 15 minutes for this activity. 5. When done, you will show MS. Huls all your work and she will put your grade in Synergy at that time. 6. BE ON TASK!

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!!!

Posters 1. Pick a partner you want to work with 2. I am going to give you a proof and you are going to first write it in your notebook. When done, raise your hand I will give you poster paper 3. On poster: 1. Draw the picture 2. Write a two-column proof 3. Write down what was hard about the proof ( was it vertical angles, reflexive property, HL, etc? ) 4. You and you partner are going to present your proof to the class.

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 emailed to me or hand-written.

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

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.

Examples