Based on the given information, can you conclude that (Triangle) QRS is congruent to (Triangle) TUV? Explain.
Given: QR is congruent to TU
QS is congruent to TV
Angle R is congruent to angle U
QRS is congruent to TUV

- anonymous

- katieb

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- anonymous

@mathstudent55 Do you mind helping me when you can?

- mathstudent55

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- mathstudent55

The figure above represents what you are given.

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## More answers

- anonymous

So you cant? because there is not postulate A.S.S?

- mathstudent55

Look at what you have, a side (QS) followed by another side (QR) followed by an angle (R).
There is no postulate or theorem SSA or retriceto prove triangles congruent, so you can't prove the triangles congruent from the given information.

- mathstudent55

You are correct.

- anonymous

Thought so, just wanted back up! Thanks! i have one more question if you mind helping me out?

- mathstudent55

Can you start a new post? I'll help you there.

- anonymous

Yea!

- anonymous

Are you sure about this one?

- mathstudent55

This one?

- anonymous

Yup

- mathstudent55

You have a question?

- anonymous

Well this is what i said the first time and it was marked wrong...

- mathstudent55

Really? Are you sure you copied the problem correctly.
From the given info, it looks like it would be SSA, which does not allow you to prove two triangles congruent.

- anonymous

Im 100% sure...But it was weird because in the given it was put that they are congruent...

- mathstudent55

I have a question about the given.

- anonymous

mhm?

- mathstudent55

This is what you wrote above as given:
"Given: QR is congruent to TU
QS is congruent to TV
Angle R is congruent to angle U
QRS is congruent to TUV"
The first two lines are congruence of segments.
The third line is congruence of angles.
What is the 4th line of given? Is it supposed to be a line of prove the triangles congruent, as in hte prove line of a proof? Is it part of the given? Is it about triangles or angles? Since there is no symbol before the three letters, I can't tell.

- anonymous

Triangles

- mathstudent55

Wait. the given incvludes the traingles are congruent? Or is it the line that should read
Prove: triangle QRS is congruent to triangle TUV

- anonymous

No its in the given!

- mathstudent55

If that is the case, then of course you can conclude the triangles are congruent. You are being told they are. I thought the last line was supposed to be the "Prove" line in the proof, and the question was if the proof was possible.

- anonymous

No...So what exactly do i write? that they are congruent because its in the given?

- mathstudent55

The fact that they only give you info on sides and angles to have SSA, which is not enough to prove triangles congruent is irrelevant since they are actually telling you the triangles are congruent.

- mathstudent55

Yes, exactly. The triangles are congruent because it is given.

- anonymous

okay, lol

- mathstudent55

Thanks for going back to the problem. I misunderstood the last line of given thinking it's the Prove line of the proof.

- anonymous

Thank you for helping me out! I wish it was possible to give out more medals!

- mathstudent55

You're welcome.

- anonymous

rwaly

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