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Geometry Notes

Geometry Notes. Sections 3-2. What you’ll learn. How to use the properties of parallel lines to determine congruent angles. How to use algebra to find angle measures. Vocabulary. No new vocabulary!!!!. Corresponding Angles Postulate.

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Geometry Notes

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  1. Geometry Notes Sections 3-2

  2. What you’ll learn • How to use the properties of parallel lines to determine congruent angles. • How to use algebra to find angle measures.

  3. Vocabulary • No new vocabulary!!!!

  4. Corresponding Angles Postulate If two parallel lines are cut by a transversal . . . What would that look like???? corresponding angles are congruent. How might we use this in a problem?

  5. Find each angle measure.

  6. Find each angle measure.

  7. Find the measure of each angle.

  8. Find each angle measure.

  9. Tell whether each statement is always (A), sometimes (S), or never (N) true. • 2 and 6 are supplementary • 1  3 • m1 ≠m6 • 3  8 • 7 and 8 are supplementary • m5 =m4

  10. Determine whether or not l1║ l2 , and explain why. If not enough information is given, write “cannot be determined.”

  11. Determine whether or not l1║ l2 , and explain why. If not enough information is given, write “cannot be determined.”

  12. Determine whether or not l1║ l2 , and explain why. If not enough information is given, write “cannot be determined.”

  13. Find the value of x and y in the figure.

  14. So, corresponding angles are congruent when two parallel lines are cut by a transversal. . . . . . . what do you think must be true about the alternate interior angles formed by two parallel lines and a transversal?

  15. . . . what do you think must be true about the alternate exterior angles formed by two parallel lines and a transversal?

  16. Have you learned .. . . • How to use the properties of parallel lines to determine congruent angles. • How to use algebra to find angle measures. • How to write proofs about angle relationships with parallel lines. • Assignment: Worksheet 3.2

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