square

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Square, special parallelogram one of. That is, a group of adjacent edges are equal, and an angle is right angle The parallelogram of regular quadrilateral 。

Square with rectangle and diamond All properties of.^[1]

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A parallelogram with a right angle and a set of equal adjacent sides is a square.^[2]

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edge	Two sets of opposite sides parallel ； All four sides equal ； Adjacent sides mutually vertical 。
Internal angle	All four corners are 90 °, the sum of internal angles is 360 ° 。
diagonal	Diagonal lines mutually vertical ； Diagonal lines are equal and mutual divide equally ； Each diagonal bisects a group of diagonals 。
Symmetry	since Centrosymmetric figure , again Axisymmetric figure (There are four axes of symmetry).
Special properties	A diagonal line dividing a square into two congruent isosceles right triangle , the included angle between diagonal line and side is 45 °; Two lines of a square diagonal Divide a square into four isosceles right triangles.
Other properties 1	The square has parallelogram 、 diamond 、 rectangle All properties and characteristics of.
Other properties 2	Draw the largest one in the square circular (inscribed circle of a square), the area of the circle is about 78.5% [π/4] of the square area; The area of the smallest circle (the circumscribed circle of the square) that completely covers the square is about 157% [2 parts π] of the square area.
Other properties 3	A square is a special rectangle, and a square is a special diamond.

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one : A diamond with equal diagonals is a square.

two : having a right angle diamond Is a square.

three : A rectangle whose diagonals are perpendicular to each other is a square.

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four : A group of rectangles with equal adjacent sides is a square.

five : A group of adjacent sides are equal and one angle is right angle parallelogram Is a square.

six : A parallelogram whose diagonals are perpendicular to each other and equal is a square.

seven : A square is a quadrilateral whose diagonals are equal and perpendicular to each other.

eight : A group of quadrangles with equal adjacent sides and three right angles is a square.

nine : A quadrilateral that is both a diamond and a rectangle is a square^[3] 。

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If a is the side length of the square, v is the diagonal of the square, S is the area of the square, and C is the perimeter of the square, then:

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