Introduction to a square and its properties

The Story of Mathematics

Philosophy of Mathematics

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Concept #1. Introduction to a square and its charactristics

Learning objectives

1. A square is a regular quadrilateral.
2. It has 4 equal sides and all its 4 angles are right angles.
3. It can also be considered as a special rectangle in which two of its adjacent sides are equal.
4. A convex quadrilateral is a square if and only if it is any one of the following:

• a rectangle with two adjacent equal sides
• a quadrilateral with four equal sides and four right angles
• a parallelogram with one right angle and two adjacent equal sides
• a rhombus with a right angle
• a rhombus with all angles equal
• a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

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Concept #2. Measurements in a square.

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Concept # 3. Construction of a square.

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