A square is a rectangle because the requirements for a rectangle is that it have two pairs of parallel sides. In other words, the opposites sides of a 4-sided shape need to be parallel. This is the case for a square making it a rectangle.
The requirements for a square are that a 4-sided shape have congruent sides and angles, in other words, 90 degree angles for each angle, but the added requirement of having all sides equal. While a rectangle can have all sides equal, that would make it a square as well.
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I think of it this way:
a) Draw an 'x' through both the square and the rectangle. Now count the number of triangles created.
b) A square and a rectangle are both: the sum of the area of 4 (equilateral) triangles.
c) A square is the sum area of 4 equilateral triangles of the same dimensions.
d) A rectangle is the sum area of 2 pair of equilateral triangles.
Sooooo, they are both: a sum area of 4 triangles. But not all the triangles were created equal. If they are equal, then you have a square. If they are paired, then you have a rectangle.
Basically, a square is a type of rectangle. It's like saying that all blueberry bagels are bagels, but not all bagles are blueberry bagels.
Rectangles must have four right angles and four sides. The four sides must include two pairs that are opposite each other and equal in length. Squares and Rectangles meet these requirements, so all squares are technically rectangles. The additional requirement to classify a rectangle as a square is that all four sides must be equal. This is only true for squares, not all rectangles.
A rectangle and a square are different shapes. A rectangle cannot be a square.
A rectangle is different from a square because a square is equal on all sides and a rectangle is not.
it is possible to draw a square that is a rectangle?
A square is a special case of a rectangle.
a rectangle has longer sides then the square then the other
A square has four sides of equal length. A rectangle has lengths that are different from the widths.
A square is always a rectangle, but a rectangle is not always a square. A square is a special rectangle that has all 4 sides the same length.
How is a square different from a rectangle?In a square, all 4 sides are of equal measure. In a rectangle that is not a square, the two pairs of opposite sides will be of unequal length. Note that a square is a special case of a rectangle, so care should be given in considering the difference.a square has four lines of symmetry and a rectangle has two.
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
a square has 4 equal sides
yes
A square is a special kind of rectangle ... one that happens to have equal length and width.