Quadrilaterals

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A quadrilateral is a four-sided closed figure. The word 'quadrilateral' comes from Latin words - 'quadri' meaning four and 'latus' meaning sides. All quadrilaterals have four sides, four vertices, and

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The sum of all angles in any quadrilateral is 360°. This can be proven by dividing the quadrilateral into two triangles using a diagonal. Since each triangle has angles summing to 180°, the total is 1

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A rectangle is a quadrilateral in which all angles are 90°. Key characteristics: (1) All angles are right angles (90°), (2) Opposite sides are equal and parallel, (3) Diagonals are equal in length and

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A square is a quadrilateral in which all angles are 90° and all sides are equal in length. Every square is also a rectangle (special case with equal sides), but not every rectangle is a square. A squa

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Properties of a rectangle: (1) All angles are 90°, (2) Opposite sides are equal, (3) Opposite sides are parallel, (4) Diagonals are equal in length and bisect each other. These properties can be used

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Square diagonals intersect at 90° (right angles), while rectangle diagonals generally don't. Also, square diagonals bisect the angles of the square (dividing each 90° angle into two 45° angles). Recta

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A parallelogram is a quadrilateral in which opposite sides are parallel. Every rectangle is a special type of parallelogram where all angles are 90°. So rectangles inherit all parallelogram properties

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Properties of a parallelogram: (1) Opposite sides are parallel, (2) Opposite sides are equal, (3) Opposite angles are equal, (4) Adjacent angles add up to 180°, (5) Diagonals bisect each other (but ar