Which figure correctly displays the proof?

- anonymous

Which figure correctly displays the proof?

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- anonymous

##### 2 Attachments

- anonymous

@ganeshie8

- ganeshie8

oly by using the Given thing we can make out the figure. give it a try once :)

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## More answers

- anonymous

What does the upside down "T" mean again?

- anonymous

Perpendicular, right?

- ganeshie8

correct :) , \(\perp \) means perpendicular

- anonymous

it's between A and D, i think the right answer is D

- anonymous

Because AB and AC have to be perp, and in figure for choice a they aren't

- ganeshie8

thats the one, good work !

- anonymous

Awesome! I have a few more. I know you're probably thinking I'm posting too much, but it's like this pre-test thing I have to take before I start the unit - so I don't really know how to do them yet because I haven't learned the material yet.

- ganeshie8

its okay, you're doing very good wid these problems... post them il see if i can help :)

- anonymous

I did two of the, I just don't know the last two.

##### 1 Attachment

- ganeshie8

you've mastered the reflexive property !

- ganeshie8

those two are right, lets see rest of them

- ganeshie8

last one is SAS

- ganeshie8

cuz, previous to that we established that Side, Angle, Side pairs are congruent.

- anonymous

Okay, and then the second one is B right?

- ganeshie8

Yes ! thats the oly left, it has to be !

- anonymous

Thank you! Here is another one:
Determine the conditions that will make ΔPQR ≅ ΔSTR.
Given that m∡PQR and m∡STR equals 90° and PQ || ST , which of the following statements will guarantee that ΔPQR ≅ ΔSTR?
a) PQ || ST
b) ∡PQR ≅ ∡RST
c) ∡QRT is a straight angle
d) R is a midpoint of QT

##### 1 Attachment

- anonymous

@ganeshie8

- ganeshie8

look at the pic

- ganeshie8

we have ticks PQ and ST, that means those two sides are equal.

- ganeshie8

we have square box at angles Q and T, that means those are right angles, and they are equal

- ganeshie8

so, this is wat given to us to start wid :-
one set of SIDEs are equal
one set of ANGLEs are equal

- ganeshie8

let me knw once u make sense of above :)

- anonymous

All of the answer choices are correct statements, right? So to ensure that ΔPQR ≅ ΔSTR I think the answer is choice b

- ganeshie8

wrong, try again.

- anonymous

Well choice D is irrelevant in my opinion, so choice A?

- ganeshie8

why do u think D is irrelevent. D is the correct answer !

- ganeshie8

if R is the midpoint of QT, that makes \(QR \cong RT\)

- ganeshie8

then we can use SAS to prove triangles are congruent !

- anonymous

Well that makes sense. That crossed my mind, but I quickly shot it down lol

- ganeshie8

its okay... :)

- anonymous

Which fact could you use to help prove that ΔAEDΔBEC using Side-Angle-Side?
Answer choices:
a) AD || CB ---> This is true
b) CE/DE = BE/AE ---> this is true
c) CE = 1/3(DE) ---> This could be true
d) AD ≅ CB --- > we can eliminate this one because it isn't true

##### 1 Attachment

- ganeshie8

good :) we need to prove the similarity using SAS

- anonymous

The SAS Postulate states that if two sides and the included angle of the triangle are congruent, and the same for the other triangle, then the two triangles are congruent. so I think the answer is b

- anonymous

Because b includes the angles, I think.

- ganeshie8

hang on - here we are working on SIMILAR triangles. not CONGRUENT triangles.

- ganeshie8

first, get that clear ok

- anonymous

It doesn't work with both?

- ganeshie8

similar and congruent are two different things

- anonymous

I was just giving you the definition I was given.

- anonymous

I know they are different, congruent means they are exactly the same and similar means the proportional to each other.

- ganeshie8

good :) then we cna move on

- ganeshie8

a - doesnt work cuz, parallel lines doesnt tell anything about sides.

- anonymous

And we've eliminated D because it isn't true.

- ganeshie8

c) CE = 1/3(DE) ---> This could be true
doesnt work cuz, oly one side pairs ratio it is, it doesnt tell about the second SIDE pair

- ganeshie8

d - doesnt work which is obvious

- anonymous

So the only one left is B, I nwas right!

- anonymous

I was*

- ganeshie8

b) CE/DE = BE/AE ---> this is true
it works. cuz its saying the two pairs of sides are forming a proportion. and the included angle at E is congruent by vertical angles postulate.
so we can prove triangles are similar by SAS similarity.

- ganeshie8

Yes, you're right !

- anonymous

Awesome! I really appreciate your help!

- ganeshie8

np :)

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