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jaylelile
 one year ago
Which theorem or postulate justifies that angle HEF~angle HGE ?
options and picture of diagram below.
jaylelile
 one year ago
Which theorem or postulate justifies that angle HEF~angle HGE ? options and picture of diagram below.

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jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0A. AA similarity postulate B. SAS similarity theorem C. SSS similarity theorem D. SSA similarity theorem I have ruled out option C but I'm stuck now....

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0help anyone? I'm totally blank.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0@Concentrationalizing you got anything?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm pretty new to geometry, honestly. I know a lot of random things about it and can help in certain cases, but I'm taking a geometry course starting in July, so my geometry skills aren't incredibly sound. I was looking in my textbook to get an idea, actually xD I mean, clearly they're similar, but I havent learned all the postulates and theorems yet. But I was taking a look at the question because I need to familiarize myself with as much of it as possible for when I take the course.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0aaaaaah. Thanks anyway!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Everything I see has to do with showing that triangles are similar. And all of those ideas use the congruency of angles. I dont see any mention about saying angles are similar, only that triangles are similar. I was thinking that maybe its supposed to be ∠HEF ≅ ∠ HGE ? Congruence of the angles as opposed to similarity of them?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can find out angle E for the right triangle by subtracting 90 plus 53 from 180

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then you should have an option

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0wait but I don't need to find out angle E do I? I just need to know what postulate/theorem justifies the angles? I'm so confused.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0not sure which postulate is correct but i know that triangles EHF and GEF are similar

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, here's what I'm thinking: I don't believe A is the correct choice. We're trying to prove that ∠HEF ≅ ∠ HGE. Now, we can do some simple math and find those angles but I dont think we're allowed to do that in this problem, it defeats the purpose of the proof. From what I see, AA postulate requires that we already know two angles are congruent. I don't think we can obtain that knowledge without breaking the rules of the proof. As you said, I wouldnt expect C to be correct either. Even though we can make a logical inference from it, all SSS does is prove triangles are similar using sides, but not angles. I don't even see an SSA similarity postulate in my textbook, only SAS. So I would reason that answer B is correct. We can use pythagorean theorem to find the sides of the triangle and we already know that we have one congruent angle, the 90 degree one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont think finding angle E is really allowed in what we're doing. I would expect that we need to do anything else EXCEPT find those angles. We're not supposed to assume that knowledge. But I could be completely wrong, its just my reasoning

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0similar traingles are the same shape  that is the corresponding angles are equal

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0IF AA means that 2 angles can be shown to be equal then the other angles must also be eqqual so I would guess that A is the correct option.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0So option B? I think that would make the most sense. Unless this is a trick question...

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0wait why option A????? I'm so lost!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, AA proves triangles are similar. But the main question I would have is can we make an indirect conclusion? Showing that the triangles are similar would definitely imply the angles are congruent, but we could use multiple options to show the similarity of the triangles.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0S means equal sides  that is used for congruent ( exactly the same ) triangles . It must be A.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We're working with similarity postulates though, which have to do with the ratio of corresponding sides of a triangle, not the equality of corresponding sides.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0No  all we need do is prove that 2 angles are congruent.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0A is a similarity postulate. I do think that it might be correct now it's making more sense.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im not trying to argue Im right and anyone is wrong, Im just stating my arguments and trying to learn, so I just wanted to clarify that, lol.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0no no @Concentrationalizing this isn't turning into an argument, just a discussion. I do appreciate everyone's insight and help a ton!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know it isnt an argument, I just want to make sure that noone thinks it is :)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0<GEF = < EHF ( both right angles) <EFH is common to both triangles Therefore triangles EHF and GEF are similar

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0Yes A is definitely correct. We don't have this naming convention in the UK  thats whyI was a bit puzzled , at first.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0SSS must be 3 sides equal which shows that the triangles are congruent

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0welshfella is definitely making sense to me, I agree it must be A. Thank you so much!!!!!!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0SAS and  2 sides and the included angle  congruent triangles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I still think you're mixing up similarity and congruence. The SSS you're speaking of is SSS congruence postulate. But the options are specifically similarity postulates, not congruence.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0congruent triangles are also similar of course but in this problem the triangles are obviously not congruent

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, so one question before I mention what issues Im having. Is the strategy you're using to show that the similarity of triangles implies the congruence of the angles?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0the congruence of the angles implies the similarity of the triangles.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Aren't we trying to show the congruence of the angles, though? Not the similarity of the triangles? It sounds like that'd be going in the opposite direction.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0congruence and similarity is the same thing.

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0well pretty much anyway.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well they aren't the same nor are the theorems. But I know there's something I'm missing behind the reasoning. Otherwise I could just explain my concerns and see why I may be wrong xD

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0no  not really when we talk about similar triangles in Geometry we mean triangles with the same shape but different side lengths.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0I must admit I'm a little confused about the word similarity in the mentioned postulates SSS would be equated to congruence.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just want to make clear what you're trying to do when determining this. So you said the congruence of angles implies the similarity of the triangles, which I perfectly agree. But I think that statement is in the reverse direction of what we want. The final result is that we want the congruence of the angles, so I wouldnt think we could try to do anything but show that the congruence of the angles is implied by something else.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0Yes but to find the congruence of the angles in the question we do it by proving the similarity of the 2 triangles. And we do this by proving that the other 2 angles in ecah triangles are congruent.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0= thats why I think the AA postulate is the correct one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, here's what I have in my textbook about it, Welsh: "Sidesideside (SSS) Congruence Postulate: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent." That's the congruence one. Now there is an SSS similarity one as well, however "Sidesideside (SSS) Similarity Theorem: If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar." As in: dw:1433541678140:dw

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0Ah  I see what they mean  Yes thats another way to show that triangles are similar  if the sides are in same proportion I understand that now.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Correct. And because of that, it seemed like there would be multiple ways to show what we need to show. Pythagorean theorem let's us get all the required side lengths and their proportions, which would show similar triangles and then imply the congruence of the angles. So it almost seems like you could claim A, B, and C could be correct, I was just trying to figure out which one would be the "most correct".

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0well I think the AA postulate is correct for one but yes there could be others which are correct as well

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0the side GF in the large triangle is 50 by pythagoras

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, I also notice that you're considering the entire larger triangle where I was only considering the two individual triangles. I'm considering it now from the large triangle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, I guess when you consider it from the larger triangle, AA makes a lot of sense.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.030 / 50 = 24/40  these lines are from large triangle and the smallest one  that is enough to show that they are similar  also the angle 53 degrees is common so is that the SSA or SAS postulate?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0i must admit I find this confusing and I wonder if they are really necessary..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont even show an SSA postulate in my text when it comes to similarity, only when it comes to congruence. Im not sure that one exists, I think its just a trick answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, exactly. They dont seem necessary and they pretty much all seem sufficient to come to the conclusion on their own.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But when you consider the larger triangle and not just the two independent smaller triangles, it seems like you can come to the most direct conclusion, where it seems like the others require some more calculation or an indirect result.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0i need to turn in now  its been interesting talking to you. Good luck!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, thanks for the conversation, much appreciated :)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0I was wrong when I said that two side.s in same. Ratio prove that the trIangles are similar you need an equal angle as ,well, I have. Read up on this and I've the a sass and says postulate but not the S.s,a As you said.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0* SAS and SSS postulates
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