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hhopke

  • one year ago

Prove that angle 4 is congruent to angle 3

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  1. hhopke
    • one year ago
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    |dw:1435614191757:dw|

  2. hhopke
    • one year ago
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  3. jim_thompson5910
    • one year ago
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    how far did you get with this proof?

  4. hhopke
    • one year ago
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    Um... I filled in the givens.

  5. jim_thompson5910
    • one year ago
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    so they gave you a partially filled in 2 column proof table?

  6. hhopke
    • one year ago
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  7. hhopke
    • one year ago
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    Here's all of what I have to work with:

  8. jim_thompson5910
    • one year ago
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    and you're not sure where to go from here? if not, then we want to somehow connect angle 1 and angle 8 let's start with angle 1 and work our way to 8 what kind of angles are these (circled) |dw:1435614962781:dw|

  9. hhopke
    • one year ago
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    alternate interior angles congruent because CD || EF

  10. jim_thompson5910
    • one year ago
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    correct

  11. jim_thompson5910
    • one year ago
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    so we can say that angle 1 is congruent to angle 3

  12. hhopke
    • one year ago
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    4 congruent to 8 b/c corresponding angles, EF || GH

  13. jim_thompson5910
    • one year ago
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    yes

  14. hhopke
    • one year ago
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    And then use the transitive property to link everything else together... right?

  15. jim_thompson5910
    • one year ago
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    yeah one more piece is that angle 3 = angle 5 (alternate interior angles, EF || GH)

  16. jim_thompson5910
    • one year ago
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    then you connect them together trying to get angle 3 = angle 4

  17. hhopke
    • one year ago
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    Okay. Thank you so much!

  18. jim_thompson5910
    • one year ago
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    you're welcome

  19. hhopke
    • one year ago
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  20. jim_thompson5910
    • one year ago
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    hmm very clever, I didn't think to take this route. But it works pretty well

  21. jim_thompson5910
    • one year ago
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    everything looks good

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