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oly by using the Given thing we can make out the figure. give it a try once :)
What does the upside down "T" mean again?
correct :) , \(\perp \) means perpendicular
it's between A and D, i think the right answer is D
Because AB and AC have to be perp, and in figure for choice a they aren't
thats the one, good work !
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.
its okay, you're doing very good wid these problems... post them il see if i can help :)
you've mastered the reflexive property !
those two are right, lets see rest of them
last one is SAS
cuz, previous to that we established that Side, Angle, Side pairs are congruent.
Okay, and then the second one is B right?
Yes ! thats the oly left, it has to be !
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
look at the pic
we have ticks PQ and ST, that means those two sides are equal.
we have square box at angles Q and T, that means those are right angles, and they are equal
so, this is wat given to us to start wid :- one set of SIDEs are equal one set of ANGLEs are equal
let me knw once u make sense of above :)
All of the answer choices are correct statements, right? So to ensure that ΔPQR ≅ ΔSTR I think the answer is choice b
wrong, try again.
Well choice D is irrelevant in my opinion, so choice A?
why do u think D is irrelevent. D is the correct answer !
if R is the midpoint of QT, that makes \(QR \cong RT\)
then we can use SAS to prove triangles are congruent !
Well that makes sense. That crossed my mind, but I quickly shot it down lol
its okay... :)
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
good :) we need to prove the similarity using SAS
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
Because b includes the angles, I think.
hang on - here we are working on SIMILAR triangles. not CONGRUENT triangles.
first, get that clear ok
It doesn't work with both?
similar and congruent are two different things
I was just giving you the definition I was given.
I know they are different, congruent means they are exactly the same and similar means the proportional to each other.
good :) then we cna move on
a - doesnt work cuz, parallel lines doesnt tell anything about sides.
And we've eliminated D because it isn't true.
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
d - doesnt work which is obvious
So the only one left is B, I nwas right!
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.
Yes, you're right !
Awesome! I really appreciate your help!