hhopke
  • hhopke
Prove that angle 4 is congruent to angle 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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hhopke
  • hhopke
|dw:1435614191757:dw|
hhopke
  • hhopke
jim_thompson5910
  • jim_thompson5910
how far did you get with this proof?

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hhopke
  • hhopke
Um... I filled in the givens.
jim_thompson5910
  • jim_thompson5910
so they gave you a partially filled in 2 column proof table?
hhopke
  • hhopke
hhopke
  • hhopke
Here's all of what I have to work with:
jim_thompson5910
  • jim_thompson5910
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|
hhopke
  • hhopke
alternate interior angles congruent because CD || EF
jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
so we can say that angle 1 is congruent to angle 3
hhopke
  • hhopke
4 congruent to 8 b/c corresponding angles, EF || GH
jim_thompson5910
  • jim_thompson5910
yes
hhopke
  • hhopke
And then use the transitive property to link everything else together... right?
jim_thompson5910
  • jim_thompson5910
yeah one more piece is that angle 3 = angle 5 (alternate interior angles, EF || GH)
jim_thompson5910
  • jim_thompson5910
then you connect them together trying to get angle 3 = angle 4
hhopke
  • hhopke
Okay. Thank you so much!
jim_thompson5910
  • jim_thompson5910
you're welcome
hhopke
  • hhopke
jim_thompson5910
  • jim_thompson5910
hmm very clever, I didn't think to take this route. But it works pretty well
jim_thompson5910
  • jim_thompson5910
everything looks good

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