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What Is a Quadrilateral?

a 2D shape

all of its sides are straight

has 4 interior angles that add up to 360°

a 4-sided �shape

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Square

Do you know what the properties of a square are?

  • All sides are of equal length.
  • Opposite sides are parallel.
  • All interior angles are equal.

If the interior angles of a quadrilateral add up to 360°, what must each interior angle of a square be?

Each angle is a right angle of 90°.

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Rectangle

Do you know what the properties of a rectangle are?

  • Opposite sides are parallel and of equal length.
  • Every angle is a right angle (90°).

Squares can be classified as rectangles, but not all rectangles can be classified as squares. Can you explain why?

A rectangle has opposite sides of equal length and has four 90° angles. A square has opposite sides of equal length and four 90° angles. However, in a square, all of the sides are of equal length.

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Rhombus

Do you know what the properties �of a rhombus are?

  • All 4 sides are of equal length.
  • Diagonally opposite angles are equal.
  • 2 angles are acute and 2 are obtuse.
  • Opposite sides are parallel.
  • Diagonals bisect each other at right angles.

What other name could be given to a rhombus?

A parallelogram.

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Parallelogram

Do you know what the properties of a parallelogram are?

A rhombus is a type of parallelogram. Which property means that not all parallelograms are rhombuses?

In a rhombus, all of the sides are equal.

  • It has 2 pairs of equal parallel sides.
  • Diagonally opposite angles are equal.
  • 2 angles are acute and 2 are obtuse.

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Trapezium

Do you know what the properties of a trapezium are?

  • Has 1 pair of parallel sides.

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Kite

  • Has 2 pairs of equal, adjacent sides.
  • Diagonals bisect each other at right angles.
  • 1 pair of opposite angle are equal.

Do you know what the properties of a kite are?

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