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Yes they can definitly be similar.

Q: Would a four inch rectangle be similar to a 4 inch square?

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A rectangle with four equal sides would not be a rectangle, it would be a square. In a rectangle opposite sides are equal in length and are parallel.

parallel sides, four right angles, quadrilateral

A rectangle has four right angles but is not a square.

A rectangle is a quadrilateral with four right angles True (Apex)

A square is a special case of a rectangle. Every square is a rectangle, but not every rectangle is a square. A square is a rectangle with four sides that are all equal in length.

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A rectangle with four equal sides would not be a rectangle, it would be a square. In a rectangle opposite sides are equal in length and are parallel.

parallel sides, four right angles, quadrilateral

That would a "Square".

Yes. A rhombus has four equal sides. A rectangle has four right angles. If a rhombus were also a rectangle, it would have four equal sides and four right angles. Thus it would be a square.

A rectangle has four right angles but is not a square.

Yes, actually a rectangle is a type of square.

A rectangle is a quadrilateral with four right angles True (Apex)

A square is a rectangle, with the additional property of having four equal sides.

A square is a special case of a rectangle. Every square is a rectangle, but not every rectangle is a square. A square is a rectangle with four sides that are all equal in length.

A rectangle is a plane four sided shape. It has two pairs of parallel sides which meet at right angles. So is a square. The opposite sides of a rectangle are equal but in a square all four sides are equal. So a square is a rectangle but a rectangle is not a square.

Both statements are not always true. A square is a rectangle (a shape four sides and four corners which are all right angles) but a rectangle is not necessarily a square (a shape with four equal sides and four corners that are all right angles).

The answer is a rectangle, which includes the sub-class of rectangles known as the square. Remember, like my HS math teacher would say:A square is a rectangle, but a rectangle is not a square.