Shapes (Difficult)
You'll find a few kites in this quiz!

Shapes (Difficult)

In this quiz about shapes we are going to look at quadrilaterals: these are closed 2D (two dimensional) shapes: being 2D they are flat and have no volume.

The word 'quadrilateral' comes from two Latin words, 'quadri' and 'latus'. Quadri means four and latus means side. Think of a quad bike - why is it called this? Because it has four wheels. If you hear of someone giving birth to 'quads', you'll now know how many babies there would be.

Going back to shapes, the obvious quadrilateral is a square, but there are many, many more. Do this 11-plus Maths quiz and see how much you know about the properties of quadrilaterals.

If you want to draw an animal using only quadrilaterals, try a cow - good luck!

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  1. What is the name of the quadrilateral that has the following properties?
    All its interior angles are 90°.
    All its sides are of equal length.
    Its opposite sides are parallel.
    Its diagonals bisect each other at 90°.
    Its diagonals are of equal length.
    Learn these facts
  2. What is the sum of the interior angles of a quadrilateral?
    A quadrilateral can be split into two non-overlapping triangles: 180° + 180° = 360°
  3. What is the name given to a quadrilateral whose sides are all the same length and whose interior angles are all the same size?
    The term 'regular' is also used for polygons whose side lengths are all the same, e.g. a regular pentagon has five sides all of the same length, and its interior angles are all the same size: 108°
  4. Which of the following shapes is also a parallelogram?
    The square, rhombus and rectangle are also parallelograms because their opposite sides are parallel and equal in length AND their opposite angles are equal in size
  5. There is only one regular quadrilateral. What is it called?
    That's a fact worth knowing
  6. What is the name of the quadrilateral that has the following properties?
    Its diagonally opposite angles are the same.
    Its sides are of equal length.
    Its opposite sides are parallel.
    Its diagonals bisect each other at 90°.
    Learn these facts
  7. What is the name of the quadrilateral that has the following property?
    Only one pair of opposite sides is parallel.
    A 'trapezoid' is like a trapezium, but it doesn't have any parallel sides. The words 'trapezium' and 'trapezoid' have been used as defined in British English. Learn these facts
  8. What is the name of the quadrilateral that has the following properties?
    It has diagonally opposite equal angles.
    Its opposite sides are of the same length.
    Its opposite sides are parallel.
    Its diagonals bisect each other.
    Learn these facts
  9. What is the name of the quadrilateral that has the following properties?
    All its interior angles are 90°.
    Its opposite sides are of the same length.
    Its diagonals are of the same length.
    A 'rectangle' is also called an 'oblong'. Learn these facts
  10. What is the name of the quadrilateral that has the following properties?
    It has two pairs of sides of equal length.
    Only one pair of diagonally opposite angles is equal.
    Only one of its diagonals is bisected by the other.
    Its diagonals intersect at 90°.
    Learn these facts

Author: Frank Evans

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