Welcome! U2H6: Worksheet Congruence Criteria (0/2/6 due Wednesday) Updates: Unit 2 Quiz 2 will be 11/1
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1 Welcome! U2H6: Worksheet Congruence Criteria (0/2/6 due Wednesday) Updates: Unit 2 Quiz 2 will be 11/1
2 Agenda 1 Collect EA (2 nd period) 2 Warm-Up! 3 Review U2H5 4 Congruence Criteria Activity 5 Congruence Criteria Lesson/Practice 6 Cool-Down
3 Warm-Up! Copy and complete in your notebook at the bottom of Corresponding Parts. Practice: Given ABC DEF (a) Find the value of x. (b) Find m F. (Use the fact that all angles in a triangle add up to 180)
4 Review U2H5
5 Staple pgs to your blank page. I will leave one page blank for supplemental notes. Today s Lesson #: U2A11 Topic: Congruence Criteria LO#7: Investigate the congruence criteria for proving triangle congruence and use the congruence criteria in simple proofs.
6 If I wanted to show two triangles in the diagram below are congruent, what would you do? There are tricks in the Geometry World that will allow you to EASILY show that two triangles are congruent instead of showing that ALL corresponding sides are congruent and ALL corresponding angles are congruent.
7 We are going to do an activity that will _ind all of the Triangle Congruence Criteria Meaning, how we can EASILY show that two triangles are congruent. In this activity S stands for Side and A stands for Angle. Ø What does SSS stand for? You will need a ruler with centimeters and protractor to complete this activity.
8 Everyone will receive one grid paper and Congruence Criteria Template sheet. Each group will get 3 scissors. Each table will receive an instruction sheet (yellow) and you will be switching a total of 4 times.
9 As a class we will model the _irst two to make sure you understand the idea of the activity. I will time you for 5 minutes. After the 5 minutes you will switch to the next table. 1 -> 2, 2-> 3,, 6->7, 9->1. If you need help, _irst consult your tablemates, then raise your hand for my assistance.
10 Congruence Criteria o These are combinations of Angles and Sides that allow you to EASILY show two triangles are congruent. Ø SSS Congruence Postulate Ø SAS Congruence Postulate Ø ASA Congruence Postulate Ø AAS Congruence Postulate Ø HL Congruence Postulate o Note that AAA and ASS DO NOT show triangle congruence as it can be more than one triangle.
11 Turn to the next whole page in your notebook and using the whole page make 6 boxes and label them: SSS, SAS, ASA, AAS, AAA, ASS ß Color Code it so you remember which ones are and are not Congruence Criteria. Everyone will receive their own sheet of triangles you will cut them out and place them in the category you feel they belong. After 8 minutes we will compare, then tape/glue them to the page.
12 Hypotenuse Leg Congruence Postulate (HL) Hypotenuse: Opposite side of the right angle. Legs: Sides touching the right angle.
13 HL ( hypotenuse leg ) is used only with right triangles, BUT, not all right triangles. HL ASA
14 Tear out Pages We will read through Example A and then you will complete Try These A (a-b).
15 Tear out Pages We will read through Example A and then you will complete Try These A (a-b).
16 Pg. 153 Attempt #11-15.
17 Cool-Down: Whiteboards! I will show a picture and you will write on your whiteboard what congruence criteria postulate you will use to prove the triangles are congruent. Recall the possible postulates are: 1. SSS (1) 2. SAS 3. ASA 4. AAS 5. HL
18 Whiteboards! I will show a picture and you will write on your whiteboard what congruence postulate you will use to prove the triangles are congruent. Recall the possible postulates are: 1. SSS (2) 2. SAS 3. ASA 4. AAS 5. HL
19 Whiteboards! I will show a picture and you will write on your whiteboard what congruence postulate you will use to prove the triangles are congruent. Recall the possible postulates are: 1. SSS (3) 2. SAS 3. ASA 4. AAS 5. HL
20 Whiteboards! I will show a picture and you will write on your whiteboard what congruence postulate you will use to prove the triangles are congruent. Recall the possible postulates are: 1. SSS (4) 2. SAS 3. ASA 4. AAS 5. HL
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