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Math and Arithmetic
Geometry

Are all rectangles squares?

Answer

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December 06, 2012 1:30PM

No. A square must be a rectangle, but a rectangle does not have to be a square.

A square is a rectangle that has four sides of equal length.

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A rectangle MUST have the following:

Four sides

Four angles that are right angles (90 degrees), so that the total is 360 degrees.

Two pairs of parallel sides

Two pairs of equal sides

A square MUST have the following:

Four sides (All must be the same length)

Four angles(Must all be 90 degrees)

Two pairs of parallel sides

Because of that not all rectangles are squares but all squares are rectangles.

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Rectangles are parallelograms with all right angles, and opposite sides are congruent. Squares are parallelograms with all right angles, and ALL sides congruent. Therefore, all squares are rectangles, but not all rectangles are squares.
False! squares have 4 equal sides and rectangles don't they only have 2 equal sides. Some rectangles are squares, but not all of them. On the other hand, all squares are rectangles.