Classifying Quadrilaterals (Page 3 of 4) in pdf

Quadrilaterals

SOLUTIONS

Three-sided shapes are all triangles (equilateral, isosceles or scalene).

Four-sided shapes are all quadrilaterals, and many have special names.

Task A: Naming quadrilaterals:

Write the proper name beside each diagram below.

Arrowhead / Delta: a quadrilateral

Oblong: sometimes means a rectangle that cannot be a square,

with a reflex angle

sometimes means oval

Circle: a curved 2D shape

Oval: vague term referring to a curved shape (like an ellipse) or

Cube: the 3D equivalent of a square

a rounded rectangle

Diamond: non-mathematical word (a

Polygon: a many-sided shape (a general term for any 2D shape

rhombus, but only a certain way

with straight sides)

round usually)

Prism: 3D shape with a constant cross-section (eg Toblerone)

Hexagon: six-sided polygon

Pyramid: 3D shape with a 2D shaped base going to a point

Extension: Can you find the area of all the shapes above? Are there any useful rules?

Square

Rectangle

Parallelogram

Rhombus

Kite

Trapezium

9��

8��

10��

4��

12��

7��

��

× ��

( �� + �� )

��ℎ

��ℎ × ��ℎ

�� × ℎ��ℎ��

ℎ

��

× ��

Task B: Describing quadrilaterals:

We want to know about sides, angles & symmetry.

For each shape below, see how much you can say about it. One has been done for you.

Square

Rhombus

Kite

 All sides equal

 Two pairs of adjacent sides

 Two pairs of parallel sides

equal

 One pair of opposite angles

 All angles equal to 90°

 Opposite angles equal

 Four lines of symmetry

 Two lines of symmetry

equal

Trapezium

Parallelogram

Rectangle

 Two pairs of equal

 Two pairs of equal opposite



One pair of parallel sides

opposite sides

sides

 Two pairs of parallel sides

 All angles equal to 90°

 Opposite angles equal

 Two lines of symmetry

 No lines of symmetry

Your descriptions should be true for all shapes with this name, not just the example drawn.

Extension: Do any of these shapes have rotational symmetry? If so, what order?

Classifying Quadrilaterals Page 3

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