I°) Definition of square
| A square is a quadrilateral
with both rectangle
and rhombus :
- The four sides are congruent
Explanation of a construction of a square: |
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Draw any circle with center O. Let [AC] be a diameter, draw the segment [BD] perpendicular to [AC] through O. ABCD is a square whose diagonals AC and BD intersect perpendicularly in the middle O. |
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II°) Properties of the square
| Property 1:
The diagonals of a square axes |
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Property 2:
The bisectors of opposite sides are axes of symmetry. Point O is center of symmetry. |
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