AreEqual Command

AreEqual[ <Object>, <Object> ]

Decides if the objects are equal.

Normally this command computes the result numerically. This behavior can be changed by using the Prove command.

Example:

AreEqual[Circle[(0, 0),1],x^2+y^2=1] yields true since the two circles have the same center and radius.

Note: AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]] is different from Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)] as the latter compares just the lengths

Note: See also AreCollinear, AreConcyclic, AreConcurrent, AreCongruent, ArePerpendicular, AreParallel commands.