Are a rectangle and a square sometimes, always, or never similar?

Question

I think sometimes, but I'm not sure.

Answer 1

Sometimes. Since squares are rectangles with four congruent sides, any square will be similar to any other square, and both of them are rectangles.

Warning: this answer depends on your teacher using the correct definition for rectangle. If he/she isn't, your mileage may vary.

Answer 2

Sometimes is the correct choice. A rectangle and a square are identical when all four sides of a rectangle are equal.

Answer 3

Definetly not always. It depends upon whether you agree that a square is still a rectangle. If you consider squares to be rectangles, then sometimes. If not, then never.

Answer 4

They are sometimes alike. A rectangle is not necessarily a square, but a square is always a rectangle.

Rectangle: 4 equal, 90 degree angles, 2 sets of parallel and congruent sides, diagonals bisect, diagonals are congruent

Square: 4 equal, 90 degree angles, 2 sets of parallel and congruent sides, diagonals bisect, diagonals are congruent. all sides congruent


Basically, a rectangle with equal sides is a square (and rectangle)
A rectangle with unequal sides is not