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Proving Similarity in Triangles Through SSS and SAS Methods

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In this homework section, we focus on proving the similarity of triangles using the Side-Side-Side (SSS) and Side-Angle-Side (SAS) similarity theorems. We will find the value of ( x ) that makes triangles ABC and DEF, as well as triangles SRT and PNQ, similar. Theorems 6.2 and 6.3 establish the conditions under which these triangles are similar. Additionally, we will explain the reasoning and methods used to demonstrate triangle similarity. This section covers exercises #7-12 and #25-27 on page 392.

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Proving Similarity in Triangles Through SSS and SAS Methods

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Presentation Transcript

  1. Section 6.5 Prove Triangles Similar by SSS and SAS

  2. Homework • Pg 392 #7-12, 25-27

  3. Vocabulary • none

  4. Theorem 6.2: Side-Side-Side (SSS) Similarity Theorem

  5. Theorem 6.3: Side-Angle-Side (SAS) Similarity Theorem

  6. Use the SSS Similarity Theorem Find the value of xthat makes ABC ~ DEF.

  7. SRT ~ PNQ Explain how to show that the indicated triangles are similar.

  8. Explain how to show that the indicated triangles are similar. XZW ~ YZX

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