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3.2 Proof and Perpendicular Lines

Learn about vertical angles, linear pairs, perpendicular lines, and complementary angles with clear proofs and examples.

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3.2 Proof and Perpendicular Lines

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  1. 3.2 Proof and Perpendicular Lines

  2. Let’s Review

  3. Theorem 2.6-Vertical Angles Theorem • Vertical angles are congruent…. • Given: <5 & <6 are a linear pair; <6 & <7 are a linear pair. • Prove: m<5=m<7

  4. Theorem 3.1 (p137) • If two lines intersect to form a linear pair of congruent angles, • Then the lines are perpendicular.

  5. Theorem 3.2 • If two sides of two adjacent acute angles are perpendicular, • Thenthe angles are complementary.

  6. Theorem 3.3 • If two lines are perpendicular, • Then they intersect to form four right angles.

  7. State the Reason for the Conclusion:

  8. State the Reason for the Conclusion:

  9. State the Reason for the Conclusion:

  10. State the Reason for the Conclusion:

  11. State the Reason for the Conclusion:

  12. Find the value of x:

  13. Find the value of x:

  14. Find the value of x:

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