pooja195
  • pooja195
Can some please explain how to do #37 to me.... i'm not really sure how. http://prntscr.com/8dqn9t
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Hero
  • Hero
@pooja195, do you remember the acronym for congruent triangles?
pooja195
  • pooja195
No :/
Hero
  • Hero
You don't remember what CPCTC stands for?

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pooja195
  • pooja195
Corresponding parts of a triangle are congruent...? right?
Hero
  • Hero
Correct, Corresponding parts of congruent triangles are congruent. What do you think this means for \(\triangle{ABC} \cong \triangle{DEF}\) ?
pooja195
  • pooja195
that equal sign with the squiggly thingy means that they correspond so triangle ABC corresponds to triangle DEF?
dan815
  • dan815
it means congruent or equal trinagles
pooja195
  • pooja195
same thing -.-
Hero
  • Hero
Well, @pooja195, here's a bit of insight for you: \(\triangle{ABC} \cong \triangle{DEF}\) means the following: \(\angle{A} \cong \angle{D}\) \(\angle{B} \cong \angle{E}\) \(\angle{C} \cong \angle{F}\) \(\overline{AB} \cong \overline{DE}\) \(\overline{BC} \cong \overline{EF}\) \(\overline{AC} \cong \overline{DF}\)
pooja195
  • pooja195
this is confusing... :/
Hero
  • Hero
The corresponding angles have the same measure and the corresponding segments have the same length.
pooja195
  • pooja195
So DEF is 5?
Hero
  • Hero
I think what you meant to say is that since \(\overline{AC} = 5\) then \(\overline{DF} = 5\)
Hero
  • Hero
@pooja195, what does the problem ask us to find?
pooja195
  • pooja195
Find DF and m
Hero
  • Hero
Okay, and we found \(\overline{DF}\). Now we have to find \(m\angle{B}\). Any ideas on that at all based on what was explained above?
pooja195
  • pooja195
B and E are congruent
Hero
  • Hero
B and E correspond with each other and therefore have the same measure.
pooja195
  • pooja195
so 100 degrees?
Hero
  • Hero
\(m\angle{E} = 100^{\circ}\), therefore \(m\angle{B} = 100^{\circ}\). That's how you would say it properly. Saying just "100 degrees" isn't really saying anything other than just "announcing" 100 degrees. Somebody might think you're referring to the temperature outside.
pooja195
  • pooja195
Aight thanks :)

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