anonymous
  • anonymous
http://prntscr.com/7tdjo3
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@phi
anonymous
  • anonymous
@ParthKohli
misssunshinexxoxo
  • misssunshinexxoxo
Don't you see that abc and gfe are congruent?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Yes i do.
anonymous
  • anonymous
But with which property do i prove that with?
misssunshinexxoxo
  • misssunshinexxoxo
You should write out a proof for this.
anonymous
  • anonymous
Okay, but im not really good at this, could you walk me through it?
misssunshinexxoxo
  • misssunshinexxoxo
Sure review this https://www.wyzant.com/resources/lessons/math/geometry/triangles/angles_of_triangles
phi
  • phi
Here is what the first sentence tells us < ABC =
1 Attachment
phi
  • phi
write that statement and next to it write the reason we know it is true. Do you know the reason?
anonymous
  • anonymous
No, i dont.
phi
  • phi
We are told it is true. the short reason is " given "
anonymous
  • anonymous
Oh okay.
phi
  • phi
so the first line of your proof should read Statement Reason < ABC =
anonymous
  • anonymous
Okay.
phi
  • phi
anonymous
  • anonymous
That angle GEF is similar to triangle DEC?
phi
  • phi
angles can only be "congruent" (or not!) to other angles. but you should have learned about this fact: |dw:1437055059934:dw|
phi
  • phi
if you have an "x", the angles opposite each other are congruent (equal to each other) Notice that is also true |dw:1437055171801:dw|
anonymous
  • anonymous
Ohhh...okay
phi
  • phi
Look at your problem. what angle is a vertical angle to angle CED ?
anonymous
  • anonymous
angle GEF?
phi
  • phi
Yes. and angle GEF is part of the triangle we need to show is similar. so we found a useful fact write down the next line in the proof Statement Reason < ABC =
anonymous
  • anonymous
Yay! awesome...
phi
  • phi
I messed up the name of the angle. Better fix it Statement Reason < ABC =
anonymous
  • anonymous
lol, okay.
phi
  • phi
if
anonymous
  • anonymous
Well, i think that angle ABC and Angle GEF are congruent.. But not sure by which property it is proven.
phi
  • phi
"things equal to the same thing are equal to each other" I think they also use the name "transitivity" (which is a fancy word for the first statement)
anonymous
  • anonymous
Okay.. So i would put that as:
phi
  • phi
so now the proof is Statement Reason < ABC =
phi
  • phi
yes
anonymous
  • anonymous
That would be it, right?
phi
  • phi
now we can add the other given statement
anonymous
  • anonymous
Oh okay
phi
  • phi
can you add that next line? Here is the picture (I tried to add a blue line showing the two angles )
1 Attachment
anonymous
  • anonymous
mmm...Im guessing here so i might be wrong... Angles ABC and Angle GFE have corresponding angles? im not sure
phi
  • phi
Read the original problem. Do you see they tell us a second fact about 2 other angles? add that info to your proof and write the reason
anonymous
  • anonymous
"Angle GEF is congruent to Angle DEC?"
phi
  • phi
Is that what they say? read it carefully
anonymous
  • anonymous
GFE*
phi
  • phi
They write: In the figure below, .... yes it is
anonymous
  • anonymous
DCE**
phi
  • phi
yes, it is painful keeping the letters in the right order... but it matters. so what is the next statement we can add to the proof (and the reason)?
anonymous
  • anonymous
Angle GFE ≅ ∠DCE..... Idk by which reason.
anonymous
  • anonymous
By which reason??
phi
  • phi
yes, that is good. the reason is because we were told.
anonymous
  • anonymous
OH "given"
anonymous
  • anonymous
Thank you so much Phi! I appreciate it so very much <3
phi
  • phi
yes, given. Now notice that angle DEC is not part of the triangle we want. but we can use the same reasoning that we did before. so far we have Statement Reason < ABC =
anonymous
  • anonymous
um no
phi
  • phi
< DCE = what other angle ?
anonymous
  • anonymous
FGE?
phi
  • phi
what angle is a vertical angle of
anonymous
  • anonymous
EFG?
anonymous
  • anonymous
NOOO ABC
phi
  • phi
|dw:1437057224248:dw|
phi
  • phi
when you write down an angle, the "middle" letter is at the vertex so you would write
anonymous
  • anonymous
okay..
phi
  • phi
can you write the next statement in the proof?
anonymous
  • anonymous
Angle DCE = ACB by vertical angles?
phi
  • phi
yes
anonymous
  • anonymous
awesome
phi
  • phi
Statement Reason < ABC =
phi
  • phi
the reason is transitivity next, if two angles of a triangle are congruent, then the third angles are also once you have all 3 angles congruent, you have proven the two triangles are similar
anonymous
  • anonymous
Thank you so so much! Sorry for leaving, my computer has been crashing a lot lately.

Looking for something else?

Not the answer you are looking for? Search for more explanations.