Proof Check

[vampirewitchreine]

I just want to check the work on this proof.




Given: angle A is congruent to angle P
segment AB is congruent to segment AC
segment PQ is congruent to segment PR

Prove: ▲ABC ~ ▲PQR

Statement	Reason
1. angle A is congruent to angle P	1. Given
2. segment AB is congruent to segment AC; segment PQ is congruent to segment PR (AB=AC; PQ=PR)	2. Given
3. $\displaystyle \frac {AB}{PQ} = \frac{AC}{PR}$	3. Algebra
4. ▲ABC ~ ▲PQR	4. ​SAS~

 

[tkhunny]

Well, it's not TERRIBLE, but it does need some work, since it really leaves us hanging.

What did the proportion show? Why did you do that?

What THEOREM suggests that you have done enough? Is it the AAA theorem or the SSS theorem? Perhaps some other?

You cannot just do the necessary work. You must also tell us why you did the work and what it all means. This is a convincing argument.

 

[vampirewitchreine]

Well, it's not TERRIBLE, but it does need some work, since it really leaves us hanging.

I apologize for the confusion of things, but I should have specified that all black was what my textbook provided and that the red was the information that I entered.

What THEOREM suggests that you have done enough? Is it the AAA theorem or the SSS theorem? Perhaps some other?

I used the Side-Angle-Side Similarity Theorem to prove that the triangles are similar. Something else that I should have made clear was that I'm trying to prove that the triangles are similar, not that they are congruent.

 

[tkhunny]

Truthfully, I was a little hard on you. The grid format does contain the information I suggested. What it doesn't contain is the information that YOU understand it. Just the little narrative you have provided in response to my objections certainly provides this information. Disclosing that the book provided much of the display was important.

In other words, good work!