Question

I don't get this at all, can someone help me understand it?

Answer 1

I am not good at math, but can try.
ASK!

Answer 2

So I'm given this image

Answer 3

And I'm having to complete this chart

Answer 4

I understand everything about and I'm usually alright at proofs, I just don't get which specific thing I would be proving with that

Answer 5

The last step says that PQ=RQ so that's what they want you to prove.

Follow the steps in this geometric proof to see what the eight step is.

Answer 6

I did, and I just don't understand the prelude to it. Wouldn't that just be unecessary?

Answer 7

Does it have something to do with SQ equaling TQ?

Answer 8

@Hero

Answer 9

It is a prove that PQ=RQ.

Answer 10

Well yes, I think that's already been established

Answer 11

True.

IDk, what exactly are you stuck on?

Answer 12

I have to figure out what statement 8 is, and I have no idea how to go about this. I tried to go through as a normal proof, and I still can't see it

Answer 13

Did they give you the shape that the proof/you is/are working on?
It would be super difficult, if not impossible, for me to do it without the shape.

Answer 14

It was the first thing I posted. Here:

Answer 15

Everything alright Solomon?

Answer 16

lets follow the steps.

in steps 1,2,3 the listed the givens.
Step 1: ST=TQ saying that halves of ST are equal (that's 1 given)

Step 2: ∠SQP=∠TQR saying that those 2 Q-angles that lay on ST, (without ∠PQR) are equal.

Step 3: ∠RSQ=∠PTQ saying that those 2 sharp angles that are completely to the left, one toppest, and other is bottom-est are equal.

Answer 17

Uh huh

Answer 18

Read this, I explained everything thoroughly.

Answer 19

(Up to 4th step)

Answer 20

I did

Answer 21

So far so good?

Answer 22

@Luce, I can't go on, please say something.

Answer 23

OK, I'll assume you get it.
If you don't go over it.

Answer 24

I did lol

Answer 25

READ CAREFULLY.

Step 4: Find ∠SQR. this step implies that THE SUM OF two angles formed inside
of the ∠SQR, (which are ∠SQP and ∠PQR) is equal to ∠SQR.
((( or ∠SQP+∠PQR = ∠SQR)))

Answer 26

Step 5: Says the same thing, as "step 4" but about ∠PQT.
So far so good?

Answer 27

One sec

Answer 28

K

Answer 29

Yep I got that

Answer 30

Step 6: now we are saying that those big angles, SQR and TQP
(those that look like about 140 degrees each) ARE EQUAL TO EACH OTHER>

So far so good?

Answer 31

That's step 7 m8

Answer 32

Ok, so good, lets go on....

Answer 33

I'm here just in case you're wondering

Answer 34

Hint:

Look at how ANGLE SQR and ANGLE PQR are proportional. (FIND THEM)

We have proved that these two angles, (lets draw them)

Answer 35

Hmm... that one other side is congruent?

Answer 36

Doesn't SQ equal QR as well?
I'm so confused

Answer 37

No, which angle

Answer 38

QPT?

Answer 39

YES!!!!!!!!!!!!! and it has to be equal to?

Answer 40

SRQ?

Answer 41

Close, SRQ, the acute one.

Answer 42

how do you prove that?

Answer 43

Hint:

if you have AA, you can imply AAA.

Answer 44

And I do have AA, but I thought that was only for similarity?

Answer 45

We are trying to prove they are proportional.

Answer 46

I understand why you are confused.
basically, it should be,
Step 8: knowing AAA and one side is equal therefore they are proportional.
Step 9: Since we have ASA (or ASAA, which ever you like) we can imply that PQ=RQ

Answer 47

I still don't understand goddamn

Answer 48

Do you know how we have AA?

Answer 49

Because SQR=TQP and RSQ=PTQ

Answer 50

@SolomonZelman

Answer 51

@Mertsj

Answer 52

I am here.

Answer 53

You have ASA, right?

Answer 54

Yes because SQ=TQ

Answer 55

YES!

This is the EIGHT step.

Answer 56

restate that these angles are congruent by ASA in the 8th step
(and the proof implies that PQ=RQ in the 9th step)

Answer 57

So Triangles PQT and RQS are congruent by ASA?

Answer 58

Hullo?

Answer 59

@SolomonZelman

Answer 60

@Hero
@Mertsj

I just need to finish this

Answer 61

yes, they are congruent by ASA, so state that in your 8th step.

Answer 62

Thank you so much, can you help me with one last proof?
How do I give you a medal?

Answer 63

Click best response, if you really think i deserved it.

Answer 64

You did. Can you help me with one more?

Answer 65

Maybe, but please make a separate question/thread for this.

Answer 66

Oh ok.