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Mathematics 21 Online
OpenStudy (anonymous):

In the figure (attached below), H is the midpoint of EK and FJ. What reason can be used in a proof to show EF is congruent to JK? (after the triangles are proven congruent) a.) AAS b.) CPCTC c.) Def. of bisects d.) ASA

OpenStudy (anonymous):

Here is the figure that the question refers to : )

terenzreignz (terenzreignz):

What does your heart tell you? :)

terenzreignz (terenzreignz):

The keyphrase here is *AFTER the triangles are proven congruent* There is one of these choices that may ONLY be used as a reason when you have a pair of congruent triangles...

OpenStudy (anonymous):

My <3 says no to C for sure!! I'm very confused after that : (

terenzreignz (terenzreignz):

What does CPCTC mean? :3

OpenStudy (anonymous):

I'm not sure actually.... :/

terenzreignz (terenzreignz):

Sorry... internet died :D

OpenStudy (anonymous):

I'm leaning more towards the answer being D?

OpenStudy (anonymous):

Oh no don't worry!!!

terenzreignz (terenzreignz):

Well, don't :P lol... tsk tsk somebody didn't read her books :3

OpenStudy (anonymous):

WOOPS!

terenzreignz (terenzreignz):

CPCTC means "Corresponding Parts of Congruent Triangles are Congruent"

terenzreignz (terenzreignz):

As you can see, it's a mouthful, which is why CPCTC is preferred :D

terenzreignz (terenzreignz):

So, the question says that the triangles are already proven to be congruent... so...

terenzreignz (terenzreignz):

In fact, the segments EF and JK are indeed CORRESPONDING PARTS of the pair of congruent triangles :D

terenzreignz (terenzreignz):

So you can conclude that they are congruent because of... <drum roll> CPCTC ;D

OpenStudy (anonymous):

Awesome! Thank you!!!!!!!!

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