What is CPCT?Give me a detailed brief about cpct?

Hi!

Here is the answer to your query.

**CPCT**stands for

**corresponding parts of congruent triangles.**

It means that if two triangles are congruent with any of SAS, ASA, SSS and RHS congruence rules then remaining angles and sides corresponding in both triangles are equal.

**Example**:

Given: ABCD is a parallelogram. E is the mid point of BC. AB is produced to L.

To prove: (i) ∆DEC ≅ ∆LEB

(ii) CD = BL, DE = EL

Proof: In ∆DCE and ∆LBE

∠DEC = ∠LEB (Vertically opposite angles)

CE = BE (E is the mid point of BC)

∠DCE = ∠LBE (Pair of alternate angles since AB||CD)

∴ ∆DEC ≅ ∆LEB (ASA Congruence Criterion)

CD = BL (

**c.p.c.t**)DE = EL (

**c.p.c.t**)Cheers!

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