Question

Which figure correctly displays the proof?

Answer 1

@ganeshie8

Answer 2

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

Answer 3

What does the upside down "T" mean again?

Answer 4

Perpendicular, right?

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

thats the one, good work !

Answer 9

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.

Answer 10

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

Answer 11

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

Answer 12

you've mastered the reflexive property !

Answer 13

those two are right, lets see rest of them

Answer 14

last one is SAS

Answer 15

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

Answer 16

Okay, and then the second one is B right?

Answer 17

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

Answer 18

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

Answer 19

@ganeshie8

Answer 20

look at the pic

Answer 21

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

Answer 22

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

Answer 23

so, this is wat given to us to start wid :-

one set of SIDEs are equal
one set of ANGLEs are equal

Answer 24

let me knw once u make sense of above :)

Answer 25

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

Answer 26

wrong, try again.

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

then we can use SAS to prove triangles are congruent !

Answer 31

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

Answer 32

its okay... :)

Answer 33

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

Answer 34

good :) we need to prove the similarity using SAS

Answer 35

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

Answer 36

Because b includes the angles, I think.

Answer 37

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

Answer 38

first, get that clear ok

Answer 39

It doesn't work with both?

Answer 40

similar and congruent are two different things

Answer 41

I was just giving you the definition I was given.

Answer 42

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

Answer 43

good :) then we cna move on

Answer 44

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

Answer 45

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

Answer 46

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

Answer 47

d - doesnt work which is obvious

Answer 48

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

Answer 49

I was*

Answer 50

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.

Answer 51

Yes, you're right !

Answer 52

Awesome! I really appreciate your help!

Answer 53

np :)