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Bhawna Saini from MODERN SANDEEPNI SCHOOL , asked a question
Subject: Math , asked on 3/10/12

What is  CPCT  in geometry?

EXPERT ANSWER

Ankush Jain ,Meritnation Expert added an answer
Answered on 4/10/12

Here is the link for answer to your query!

http://www.meritnation.com/discuss/question/1212217

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Anushka Nafde , From Raksha International Public Schhool , added an answer
Answered on 15/9/09

 The full form of CPCT is Corresponding Parts of Congruent Triangles.

Pallavi Barkha , From D.a.v.public School , added an answer
Answered on 15/9/09

it is th part of 2 congruent triangle which is equal to each other

Pratyush Pant , From Khaitan Pub. School , added an answer
Answered on 16/9/09


Corresponding Parts of Congruent Triangles.

This means that if 2 triangles are congruent then all the angles and sides of both the triangles will be equal

sharmaarvin123... , added an answer
Answered on 13/10/10

thanks dud to give me this answer .

shameem_247... , added an answer
Answered on 22/1/11

 corresponding parts of congruent triangles

Nivedhitha Subramanian , From Suguna Rip V School , added an answer
Answered on 7/8/11

CPCTC

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is statement developed from the definition of congruent triangles. It allows us to prove things about the remaining unproven parts of the triangles that we have just proven congruent. It allows us to state correctly after two triangles are congruent, then corresponding parts that were not previously known to be congruent are now allowed to be considered congruent.

Example

Since BO ≅ MA and BW ≅ MN and OW ≅ AN, we can conclude that ΔBOW ≅ ΔMAN because of SSS.

Now we can say ∠B ≅ ∠M, ∠O ≅ ∠A, and ∠W ≅ ∠N because of CPCTC. Since the two triangle were proven congruent, we can now correctly assume that corresponding parts that we knew nothing about, are now congruent.

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Another example

Since BO ≅ MA and OW ≅ AN and ∠O ≅ ∠A, then ΔBOW ≅ ΔMAN by SAS.

Now we can say BW ≅ MN, ∠B ≅ ∠M, and ∠W ≅ ∠N because of CPCTC.

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Another example

Since BO ≅ MA and ∠B ≅ ∠M and ∠O ≅ ∠A, we can conclude that ΔBOW ≅ ΔMAN because of ASA.

Now we can say ∠W ≅ ∠N, BW ≅ MN and OW ≅ AN because of CPCTC.

.

Another example

Since BO ≅ MA and ∠O ≅ ∠A and ∠W ≅ ∠N, we can conclude that ΔBOW ≅ ΔMAN because of AAS.

Now we can say ∠B ≅ ∠M, BW ≅ MN and OW ≅ AN because of CPCTC.

.

Another example

Since ΔBOW and ΔMAN are right triangle, BO ≅ MA and OW ≅ AN , then ΔBOW ≅ ΔMAN by HL.

Now we can say ∠B ≅ ∠M, ∠O ≅ ∠A, and BW ≅ MN because of CPCTC.

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Remember, we use CPCTC to prove parts are congruent after we have proven triangles congruent. CPCTC is used after SSS, or SAS, or ASA, or AAS, or HL, never before. First we prove that two triangles are congruent. Then if we haven’t already proven that a desired pair of corresponding sides or angles are congruent, we can now do so using CPCTC.

nikhilbansal0197... , From The Century School , added an answer
Answered on 19/8/11
Anas , From International Indian School , added an answer
Answered on 16/9/11

 ty

Rahul Indra , From Sanghmitra Public School , added an answer
Answered on 25/9/11

Nivedhithas   kaha se cop y kiya

Anas , From International Indian School , added an answer
Answered on 20/4/12

 it is coressponding part of a triangle

konicabajaj... , From Ajanta Public School , added an answer
Answered on 10/8/12

 yo yo honey singh

Chaitanya Sagar , From Suraj Bhan D A V Public School , added an answer
Answered on 16/9/12

Its cpcte Corresponding Parts of Congruent Triangles are Equal


 

Vanshika Bhatia , From Basava International School , added an answer
Answered on 3/10/12

Corresponding Parts of Congruent Triangles

B Kishan , From Dav Hzl Sr Sec School , added an answer
Answered on 3/10/12

coresponding parts of congurent triangle