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A quadrilateral is a 2D shape with four sides, corners, and angles, and includes various types such as trapeziums, parallelograms, rectangles, squares, and rhombuses. Key properties include a sum of interior angles totaling 360 degrees and specific characteristics of each type, such as the equal lengths of diagonals in rectangles and squares. Real-world examples of quadrilaterals can be found in objects like signs, doors, and tiles.

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32 views2 pages

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A quadrilateral is a 2D shape with four sides, corners, and angles, and includes various types such as trapeziums, parallelograms, rectangles, squares, and rhombuses. Key properties include a sum of interior angles totaling 360 degrees and specific characteristics of each type, such as the equal lengths of diagonals in rectangles and squares. Real-world examples of quadrilaterals can be found in objects like signs, doors, and tiles.

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garvkhandelwal0913
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We take content rights seriously. If you suspect this is your content, claim it here.
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1.

The Big Picture

 What is a Quadrilateral?

o A 2D shape with 4 sides, 4 corners (vertices), and 4 angles. Think of it as a closed


shape made by connecting 4 straight lines.

 The Quadrilateral Family

o Imagine a big family of shapes! Quadrilaterals are the parents, and they have special
children:

 Trapezium: At least one pair of opposite sides are parallel.

 Parallelogram: Two pairs of opposite sides are parallel and equal.

 Rectangle: A parallelogram with all 4 right angles.

 Square: A rectangle where all sides are equal.

 Rhombus: A parallelogram where all sides are equal.

2. Key Properties

 Sum of Interior Angles: No matter the quadrilateral, the sum of its inside angles always adds
up to 360 degrees.

 Diagonals: Lines that connect opposite corners.

o In some quadrilaterals, diagonals bisect each other (they cut each other in half).

3. Let's Get Specific

 Trapezium:

o Think of it as a tilted table. Only one pair of opposite sides run parallel.

 Parallelogram:

o Opposite sides are parallel and equal in length.

o Opposite angles are equal.

o Diagonals bisect each other.

 Rectangle:

o A special parallelogram with all 4 right angles.

o Diagonals are equal in length.

 Square:

o A rectangle where all sides are equal.

o Diagonals are equal and perpendicular (they intersect at 90 degrees).

 Rhombus:

o A parallelogram with all sides equal.


o Diagonals are perpendicular bisectors of each other.

4. Real-World Examples

 Trapezium: Trapezoid-shaped signs, certain tabletops.

 Parallelogram: Opposite sides of a book, window panes.

 Rectangle: Doors, computer screens, many buildings.

 Square: Square tiles, chessboard.

 Rhombus: Diamond shape, some kites.

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