Question

Which of the choices shown could be used to prove that ΔACP≅ΔBCP ?


A)
AAA

B)
CPCTC

C)
SAS

D)
SSA

Answer 1

What do you think it is?

Answer 2

have no idea

Answer 3

well if the 2 sides on the bottom are congruent, that means CP is the bisector. So the sides and angles are congruent. 2 of the options are possible answers. You know sides AP and BP are congruent and sides AC and BC are congruent. CP is congruent to CP because it's the bisector. So that means the answer could either be SSA or SAS

Answer 4

i still dont know. i dont understand this at all and ive had it explained to me so many times and i still dont get it

Answer 5

I used to have the same problem with these proofs until I saw a tutor and practiced

Answer 6

ive had tutors haha

Answer 7

It's tricky at first but it just takes time and practice

Answer 8

:( time and practice have never worked for me. i barely ever understand anything in math

Answer 9

That's the same way it's been for me in geometry

Answer 10

how do i know if its SSA or SAS? whats the difference between the two proofs?

Answer 11

That's the tricky part because as far as I can see the only difference is the order in which they come.

Answer 12

so then it would be SSA? it seems like the sides come before the angles but idk

Answer 13

or angle

Answer 14

I think it could go either way

Answer 15

actually i think it might be SAS. cause it looks like its equal side, then equal angle, then equal side

Answer 16

That's it i think

Answer 17

@the_ocean_girl
1. You do know that AP and BP are congruent since they are marked as congruent.
2. You also know the angles APC and BPC are congruent because they are both right angles.
3. You do not know that AC and BC are congruent since you are not told they are congruent.
4. SSA does not exist as a method of proving triangles congruent.
5. CP is congruent to CP because of the theorem "Congruence of segments is reflexive," not because CP is a bisector.
6. Once you have CP is congruent to CP, SAS is the only answer that works.
7. AAA (or simply AA) is for proving triangles similar, not congruent.
8. CPCTC is for proving parts of triangles are congruent after you have proved the triangles congruent.
9. Once again, SSA does not exist.
10. The only method of proving triangles congruent in the choice is SAS, so it would have to be the answer anyway.