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explain how all squares are rectangles but not all rectangles are squares?

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  • 1 decade ago
    Favorite Answer

    squares are rectangles because the opposite sides are the same length

    rectangles arent squares because not all sides are the same length

    Source(s): me
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  • 4 years ago

    Squares And Rectangles

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  • ?
    Lv 4
    4 years ago

    No, not every rectangle is a square. The definition of a square is a quadrilateral that has four right angles and its opposite sides are parallel and congruent. The definition of a square is a quadrilateral with four right angles also BUT it has four equal sides. A rectangle doesn't have four equal sides. Therefore every rectangle is not a square.

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  • Anonymous
    1 decade ago

    because a rectangle means that there are 4 sides and 2 sides are equal and the other two are equal. like two sides could be 6 inches and two others can be 3 inches... and a square everything has to be equal. so a square is a rectangle because it has all 4 sides equal, but a rectangle is not a square because a square needs all the sides equal.

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  • 1 decade ago

    Essential properties of a rectangle:

    1. Four sides (Quadrilateral),

    2. All angles are right angles.

    Essential properties of a square:

    1. Four sides (Quadrilateral),

    2. All angles are right angles,

    3. All sides are equal.

    So, all squares satisfy all essential properties of a rectangle. However, not all rectangles satisfy the essential properties of a square. Hence, all squares are rectangles but not all rectangles are squares.

    Hope this helps!

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  • 1 decade ago

    Rectangles are polygons with two pairs of parallel sides so that it will include squares. Square have a very strict qualification that is, all sides should be equal. So that if there is a difference in the dimensions of the sides this rectangle, it can not be considered a square.

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  • 1 decade ago

    by definition a rectangle is a four sided figure with 4 right angles. by definition a square has four equal sides and four right angles. so a square meets the definition of a rectangle but a rectangle doesnt have four equal sides. therefore a square is a rectangle but a rectangle cant be a square.

    Source(s): im an 8th grader in 10th grade math
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  • 1 decade ago

    in a rectangle the 2 opposite sides have to be equal so in a square the opposite side of any side it equal so squares qualify as rectangles.

    square all side must be equal but they aren't in rectangles so rectangle aren't all ways squares

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  • 5 years ago

    is a rectangle always, sometimes or never a square?

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  • 1 decade ago

    becauseeeee

    requirements of being a square means that the shape must have 4 equal sides. rectangles must have two parallel sides of equal length, the length doesnt matter as long as the opposite sides have the same length. where as the square must have 4 equal sides all around

    weeee :D

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