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Understanding Right Triangles: Congruence and Theorems

In this lesson, you'll learn how to determine the congruence of right triangles using various tests. Our focus will include understanding the definitions of key terms such as hypotenuse and legs, as well as applying important theorems including SSS, SAS, ASA, and AAS to prove triangle congruence. Through practical exercises, you will practice identifying congruent triangles and understand the significance of these theorems in geometry. Get ready to enhance your skills in triangle congruence!

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Understanding Right Triangles: Congruence and Theorems

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  1. (over Lesson 6-4) 1-1a http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8 Slide 1 of 2

  2. (over Lesson 6-4) 1-1b http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8 Slide 1 of 2

  3. Vocabulary 1) _________ 2) ____ Right Triangles What You'll Learn You will learn to use tests for _________ of ____ triangles. congruence right hypotenuse legs http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8

  4. Right Triangles In a right triangle, the side opposite the right angle is called the _________. hypotenuse legs The two sides that form the right angle are called the ____. hypotenuse leg leg http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8

  5. S S B B T T C R C R A A Right Triangles Recall from earlier this unit, we studied various ways to prove triangles to becongruent: In 8-1, we studied two theorems SSS and SAS http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8

  6. S S B B T T C C R R A A Right Triangles Recall from earlier this unit, we studied various ways to prove triangles to becongruent: In 8-2, we studied two theorems ASA and AAS http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8

  7. A D B E C F Right Triangles The theorems mentioned in this unit, were for ALL triangles. So, it should make perfect sense that they would apply to right triangles as well. http://yourcharlotteschools.net/Schools/PCHS/Pellegrino_site/Chapter6Section5.ppt#262,8

  8. Are the following triangles congruent? Practice B D E A F C

  9. Practice • Are the following triangles congruent?

  10. Work Packet: HL Homework

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