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Apply inequalities in two triangles.

Objective. Apply inequalities in two triangles. Example 1A: Using the Hinge Theorem and Its Converse. Compare m  BAC and m  DAC. Example 1B: Using the Hinge Theorem and Its Converse. Compare EF and FG. Example 1C: Using the Hinge Theorem and Its Converse.

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Apply inequalities in two triangles.

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  1. Objective Apply inequalities in two triangles.

  2. Example 1A: Using the Hinge Theorem and Its Converse Compare mBACand mDAC.

  3. Example 1B: Using the Hinge Theorem and Its Converse Compare EF and FG.

  4. Example 1C: Using the Hinge Theorem and Its Converse Find the range of values for k.

  5. Example 2: Travel Application John and Luke leave school at the same time. John rides his bike 3 blocks west and then 4 blocks north. Luke rides 4 blocks east and then 3 blocks at a bearing of N 10º E. Who is farther from school? Explain.

  6. Example 3a: Proving Triangle Relationships Write a two-column proof. Given: Prove: AD > CB Proof:

  7. Check It Out! Example 3b Write a two-column proof. Given: C is the midpoint of BD. m1 = m2 m3 > m4 Prove: AB > ED

  8. Check It Out! Example 3c Write a two-column proof. Given: SRT  STR TU > RU Prove: mTSU > mRSU

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