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Happy Friday Eve Please do the following: • Find new seat on whiteboard • Pick up the papers from the front table. • Take out Classwork from last period • Goal Posters WARM-UP Homework: HW #1: Finish classwork #1 HW #2: Worksheet Agenda 1. Group Posters 2. Intro to Congruent Triangles Office Hours! Everyday at lunch Thursday= FLEX ( leaving at 3:15). Saturday School ( 9am-1pm) 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 Goal Posters Take them out and Paper Passer will collect it Group Norms/Posters You are going to create posters for your group. Look at the template provided. Before we do this, let’s look at values that we created from last semester Feedback Either go to my website and find the link OR Type this in to your phone. http://bit.ly/2llLOAo This is anonymous so be AS HONEST AS POSSIBLE! When done, take a screenshot that you completed it or you can email it to me: [email protected] Warm-Up Let’s Review Warm-Up Open Notebook Title Notes: Congruent Triangles Congruent Triangles Congruent Triangles – If two figures have the same shape and the same size, they are congruent Congruence Statements • ORDER MATTERS based on congruent parts Ex 1: Congruent Triangles Congruence Statement: Corresponding Congruent Angles: Corresponding Congruent Sides: Congruent Triangles Conditions for Congruent Triangles Two figures are congruent if they meet both conditions: ①Corresponding angles are congruent ②Corresponding side lengths have a common ratio of 1. Symbol for congruence Math Joke of the Day • What do you call a fierce beast? • A line HW #1: Use this time wisely When done, raise your hand and I will stamp it off. I am going to give you until ________ to finish it! 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–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 Math Joke of the Day • What do you call a broken angle? • A rectangle! 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-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? 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 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, 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. 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