If `|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=|{:(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1):}|` , then the two triangles with vertices `(x_(1),y_(1))`, `(x_(2),y_(2))`, `(x_(3),y_(3))` and `(a_(1),b_(1))`, `(a_(2),b_(2))` ,`(a_(3),b_(3))` must be congruent.

If `|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=|{:(a_(1),b_

1.	If `\|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}\|=\|{:(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1):}\|` , then the two triangles with vertices `(x_(1),y_(1))`, `(x_(2),y_(2))`, `(x_(3),y_(3))` and `(a_(1),b_(1))`, `(a_(2),b_(2))` ,`(a_(3),b_(3))` must be congruent.
Answer» Since, `\|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}\|=\|{:(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1):}\|` represents area of triangles are equal, which does not impies triangles are congrvent. Hence, given statement is false.

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