SOLUTION: True or false: It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pair congruent. Hi, everyone! Can an

Question 1102886: True or false: It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pair congruent.
Hi, everyone! Can anyone answer this question for me, please? I have never heard or learned anything about this. My textbook does not have any information in regards to it, either, and all the resources I have gone to do not have anything useful. I feel like it's false, but I honestly just don't know. If you could help me out, I would greatly appreciate it.
Thanks so much,
RR :)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The wording does not quite mean anything,
but what I think was meant to ask is
"if we use some parts of two triangles to prove they are congruent,
can we then use that to prove that
a pair of corresponding parts not used before are congruent?"
The answer is
Yes, of course,
Corresponding Parts of Congruent Triangles are Congruent,
which teachers usually abbreviate as CPCTC.
For example, if we find that
side AB is congruent with side DE,
side BC is congruent with side EF, and
angle ABC is congruent with angle DEF,
we can prove that triangles ABC and DEF are congruent
by Side-Angle-Side (SAS) congruence.
We then, by CPCTC, can conclude that other pairs of corresponding parts are congruent:
side AB is congruent with side DE,
angle BCA is congruent with angle EFD, and
angle CAB is congruent with angle FDE.
It was possible (by CPCTC) to prove those last 3 congruence statements,
after proving the triangles congruent.
The expected answer is FALSE.
RELATED QUESTIONS
Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

True or false and explain? If one pair of opposite sides of a quadrilateral is... (answered by tazoftroy)

GIVEN: triangle ABC has vertices A(2,1) B(7,4) and C(4,-1) triangle DEF has vertices... (answered by solver91311)

How do you write that it is not possible to prove two triangles... (answered by Fermat)

True or false? if two angles in one triangle are congruent to two angles in another... (answered by MathLover1)

if two consecutive sides and a non-included angle of one triangle are congruent to two... (answered by Theo)

I have two problems that I need help: Problem #1: Prove triangle ABC is congruent... (answered by venugopalramana)

Lets say that two triangles have one pair of congruent legs and the hypotenuses are... (answered by robertb)

I am trying to prove triangles similar. The bigger triangle has an angle measuring 30... (answered by solver91311)