Question

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

Answer 1

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

Answer 2

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.

Answer 3

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.?

Answer 4

tips?

Answer 5

Drawing.

Answer 6

there's the drawing delivered by Papa Johns Pizza Geocenter

Answer 7

Ok, first of all, in order to use CPCTC, what would you first have to prove?

Answer 8

That all of the sides and angles are congruent!!!!!!!!!!!!!!!!!!!

Answer 9

Well sorta correct.
CPCTC stands for Congruent Parts of CONGRUENT TRIANGLES are congruent. *Hint hint *nudge nudge *wink wink

Answer 10

Congruent sides!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 11

Ok, all of this stuff you're blurting out works because of this. You have to prove that the triangles are congruent first.

Answer 12

hmm

Answer 13

interesting indeed

Answer 14

ehh, SQ=TQ, PQ=RQ...

Answer 15

No, all that is done for you. Review the proof and look for why the triangles are congruent.

Answer 16

m∡SQR = m∡TQP?

Answer 17

No. Which of these works? ASA SSS SAS HL AAS?

Answer 18

hmm

Answer 19

SAS?

Answer 20

Nope.

Answer 21

ehhh

Answer 22

SSS?

Answer 23

nope

Answer 24

AAS?

Answer 25

Nope

Answer 26

ASA?

Answer 27

Wow...you didn't learn HL, so technically you picked the last possible answer...yes it's correct.

Answer 28

So with that, fill in the missing statement and reason.

Answer 29

so, HL is correct?

Answer 30

No. ASA

Answer 31

k

Answer 32

k

Answer 33

so ASA

Answer 34

why is it right?

Answer 35

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.

Answer 36

So the reason is ASA...

Answer 37

and...

Answer 38

m∡SQP = m∡TQR

Answer 39

and

Answer 40

SQ = TQ

Answer 41

and

Answer 42

m∡SQR = m∡TQP

Answer 43

Am I right?

Answer 44

NOPE. ALL THAT IS INCORRECT. CAPS LOCK INITIATED!

Answer 45

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO....

Answer 46

...OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answer 47

K

Answer 48

THIS STATEMENT SHOULD BE FINISHING UP PROVING THE TRIANGLES CONGRUENT.

Answer 49

Give me at least two out of the third things

Answer 50

You already have everything you need and it's only 1 thing, so I can't give you anything.

Answer 51

PQ=RQ?

Answer 52

is that it?

Answer 53

RQP=PQR?

Answer 54

Face palm...

Answer 55

face palm...?

Answer 56

\[TRIANGLE \space RSQ \cong TRIANGLE \space TSQ\]

Answer 57

SEE? I DID IT I ALL CAPS! lol

Answer 58

WOW!!!!!!11111111111111111111111111111111111111

Answer 59

Yeah. Whenever you have something like ASA or SSS, the statement is saying that the triangles are congruent.

Answer 60

Yeah....

Answer 61

WOW...

Answer 62

So you found ASA because...

Answer 63

two of the angles were congruent and one of the sides were congruent?

Answer 64

*two of the angles were congruent and the included side was congruent

Answer 65

TSQ and RSQ

Answer 66

ehh

Answer 67

could you draw em for me or point them out?

Answer 68

Oops. \[\triangle RSQ \cong \triangle PTQ\]

Answer 69

I AM GETTING BETTER AT CODING USING THE EQUATION EDITOR! YAY!

Answer 70

One has an S in the middle while the other has a T in the middle...

Answer 71

Yeah. I mistyped it.

Answer 72

ehh

Answer 73

could you point them out for me?

Answer 74

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.

Answer 75

ahh

Answer 76

I see

Answer 77

Ok, next beast coming up

Answer 78

this is the last beast

Answer 79

Btw, you left this statement out of the previous problem's answer

Answer 80

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.

Answer 81

k...

Answer 82

next beast coming right up