what is CPCT?
the full form of CPCT is corresponding parts of ongruent triangles. there are total six things in a triangle through which we can say that the triangles are congruent (three sides and three angles).b ut we only take three things out of these to prove that the triangles are congruent and the rest of three parts of the triangles can be said to be equal by CPCT.
Jahanvi Goel is wrong.
CPCT stands for Corresponding Parts of Congruent Triangles.
Take an example. If Triangle ABC is congruent to Triangle DEF, then all sides and angles are equal. These sides and angles are the parts of the triangle. So, CPCT is simply the fact which means that all parts of a triangle are equal to or correspond with the parts of another triangle, BUT ONLY IF CONGRUENCY IS PROVED. Thank you and keep asking.
-Ameya, Gold badge Meritnation Student.
CPCTstands forcorresponding 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) âDEC ≅ âLBE(ii) CD = BL, DE = ELProof: In âDCE and âLBEDEC = LEB(Vertically opposite angles)CE = BE (E is the mid point of BC)DCE = EBL (Pair of alternate angles since AB||CD)∴ âDEC ≅ âLBE(ASA Congruence Criterion)CD = BL (c.p.c.t)DE = EL (c.p.c.t)