Types Of Quadrilaterals - GCSE Maths - Steps & Examples - Free Printable

The image provided is a table summarizing the properties of different types of quadrilaterals. Below, I will explain each type of quadrilateral and its properties as listed in the table.

Quadrilaterals

Quadrilaterals are four-sided shapes. The term "quad" means four, and "lateral" refers to sides or lines.

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1. Square

- Image: A square with all sides equal and right angles.
- Sides:
- Four equal sides.
- Opposing sides are parallel.
- Angles:
- All equal angles (90°).
- Diagonals:
- Bisect each other.
- Same length.
- Meet at 90°.
- Symmetry:
- Four lines of symmetry.
- Rotational symmetry of order 4 (can be rotated by 90°, 180°, 270°, and 360° to look the same).

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2. Rectangle

- Image: A rectangle with opposite sides equal and right angles.
- Sides:
- Two pairs of equal sides.
- Opposing sides are parallel.
- Angles:
- All equal angles (90°).
- Diagonals:
- Bisect each other.
- Same length.
- Symmetry:
- Two lines of symmetry.
- Rotational symmetry of order 2 (can be rotated by 180° and 360° to look the same).

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3. Parallelogram

- Image: A parallelogram with opposite sides parallel and equal.
- Sides:
- Two pairs of equal sides.
- Opposing sides are parallel.
- Angles:
- Two opposing pairs of equal angles.
- Diagonals:
- Bisect each other.
- Symmetry:
- No lines of symmetry.
- Rotational symmetry of order 2 (can be rotated by 180° and 360° to look the same).

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4. Rhombus

- Image: A rhombus with all sides equal but not necessarily right angles.
- Sides:
- Four equal sides.
- Opposing sides are parallel.
- Angles:
- Two opposing pairs of equal angles.
- Diagonals:
- Bisect each other.
- Meet at 90°.
- Symmetry:
- Two lines of symmetry.
- Rotational symmetry of order 2 (can be rotated by 180° and 360° to look the same).

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5. Kite

- Image: A kite with two pairs of adjacent equal sides.
- Sides:
- Two pairs of equal sides.
- Opposing sides are parallel.
- Angles:
- One opposing pair of equal angles.
- Diagonals:
- Meet at 90°.
- Symmetry:
- One line of symmetry.
- No rotational symmetry.

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6. Trapezium

- Image: A trapezium with one pair of parallel sides.
- Sides:
- One pair of parallel sides.
- Angles:
- No equal angles.
- Diagonals:
- No special properties.
- Symmetry:
- No lines of symmetry.
- No rotational symmetry.

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7. Isosceles Trapezium

- Image: An isosceles trapezium with one pair of parallel sides and one pair of equal non-parallel sides.
- Sides:
- One pair of equal sides.
- One pair of parallel sides.
- Angles:
- Two pairs of equal angles.
- Diagonals:
- Bisect each other.
- Same length.
- Symmetry:
- One line of symmetry.
- No rotational symmetry.

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8. Irregular Quadrilateral

- Image: An irregular quadrilateral with no specific properties.
- Sides:
- No equal side lengths.
- No parallel sides.
- Angles:
- No equal angles.
- Diagonals:
- No special properties.
- Symmetry:
- No lines of symmetry.
- No rotational symmetry.

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Summary

Each quadrilateral has unique properties regarding its sides, angles, diagonals, and symmetry. Understanding these properties helps in identifying and classifying quadrilaterals accurately.

Final Answer:
\boxed{
\text{The table summarizes the properties of different quadrilaterals, including sides, angles, diagonals, and symmetry.}
}