A student made the table shown below to prove that PQ is equal to RQ.

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A student made the table shown below to prove that PQ is equal to RQ.

Mathematics
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SQ = TQ Given m∡SQP = m∡TQR Given m∡RSQ = m∡PTQ Given m∡SQR = m∡SQP + m∡PQR Angle Addition Postulate m∡TQP = m∡TQR + m∡PQR Angle Addition Postulate m∡TQP = m∡SQP + m∡PQR Substitution m∡SQR = m∡TQP Transitive Property PQ = RQ CPCTC
A. Provide the missing statement and justification in the proof. B. Using complete sentences, explain why the proof would not work without the missing step.
ESSAY SUBMISSION a. SQ= TQ, angle SQR= angle TQP, and PQ=RQ by the SAS postulate. b. Without the eight step, we could not really verify for sure whether these sides and angle were congruent without the SAS postulate.?

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Other answers:

tips?
Drawing.
1 Attachment
there's the drawing delivered by Papa Johns Pizza Geocenter
Ok, first of all, in order to use CPCTC, what would you first have to prove?
That all of the sides and angles are congruent!!!!!!!!!!!!!!!!!!!
Well sorta correct. CPCTC stands for Congruent Parts of CONGRUENT TRIANGLES are congruent. *Hint hint *nudge nudge *wink wink
Congruent sides!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ok, all of this stuff you're blurting out works because of this. You have to prove that the triangles are congruent first.
hmm
interesting indeed
ehh, SQ=TQ, PQ=RQ...
No, all that is done for you. Review the proof and look for why the triangles are congruent.
m∡SQR = m∡TQP?
No. Which of these works? ASA SSS SAS HL AAS?
hmm
SAS?
Nope.
ehhh
SSS?
nope
AAS?
Nope
ASA?
Wow...you didn't learn HL, so technically you picked the last possible answer...yes it's correct.
So with that, fill in the missing statement and reason.
so, HL is correct?
No. ASA
k
k
so ASA
why is it right?
Fill in the missing statement and reason using this. Remember, this is a two column proof, so the statement and reason has to be separate.
So the reason is ASA...
and...
m∡SQP = m∡TQR
and
SQ = TQ
and
m∡SQR = m∡TQP
Am I right?
NOPE. ALL THAT IS INCORRECT. CAPS LOCK INITIATED!
NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO....
...OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
K
THIS STATEMENT SHOULD BE FINISHING UP PROVING THE TRIANGLES CONGRUENT.
Give me at least two out of the third things
You already have everything you need and it's only 1 thing, so I can't give you anything.
PQ=RQ?
is that it?
RQP=PQR?
Face palm...
face palm...?
\[TRIANGLE \space RSQ \cong TRIANGLE \space TSQ\]
SEE? I DID IT I ALL CAPS! lol
WOW!!!!!!11111111111111111111111111111111111111
Yeah. Whenever you have something like ASA or SSS, the statement is saying that the triangles are congruent.
Yeah....
WOW...
So you found ASA because...
two of the angles were congruent and one of the sides were congruent?
*two of the angles were congruent and the included side was congruent
TSQ and RSQ
ehh
could you draw em for me or point them out?
Oops. \[\triangle RSQ \cong \triangle PTQ\]
I AM GETTING BETTER AT CODING USING THE EQUATION EDITOR! YAY!
One has an S in the middle while the other has a T in the middle...
Yeah. I mistyped it.
ehh
could you point them out for me?
What do you mean? Bring up the drawing and the proof and see how everything works. I can't really s\point them out unfortunately.
ahh
I see
Ok, next beast coming up
this is the last beast
Btw, you left this statement out of the previous problem's answer
In your previous question, you needed 3 statements and you only had 2. Plus, in this question, you forgot to answer B unless you did.
k...
next beast coming right up

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