Exploring Quadrilaterals in Year 8

Understanding four-sided shapes and their properties Year 8 Mathematics Australian Curriculum

What is a Quadrilateral?

A polygon with exactly four sides Four vertices (corners) Four interior angles Sum of interior angles = 360°

Types of Quadrilaterals

{"left":"Square - all sides equal, all angles 90°\nRectangle - opposite sides equal, all angles 90°\nParallelogram - opposite sides parallel and equal","right":"Rhombus - all sides equal, opposite angles equal\nTrapezium - one pair of parallel sides\nKite - two pairs of adjacent sides equal"}

Quadrilateral Hunt

Find 5 different quadrilaterals around the classroom Sketch each one in your notebook Label the type of quadrilateral Measure the sides if possible

Properties of Parallelograms

Opposite sides are parallel and equal Opposite angles are equal Diagonals bisect each other Consecutive angles are supplementary (add to 180°)

Think and Discuss

Is every rectangle a parallelogram? Is every parallelogram a rectangle? What makes a rhombus special? How is a square related to other quadrilaterals?

Quadrilateral Family Tree

Real-World Applications

Architecture and construction Art and design Engineering and manufacturing Computer graphics and gaming

Create Your Own Quadrilateral Art

Use only quadrilateral shapes Create a recognizable image or pattern Use at least 4 different types Color and label each type used

Summary and Key Takeaways

Quadrilaterals have 4 sides and 4 angles Interior angles sum to 360° Different types have unique properties Shapes are hierarchically related Quadrilaterals are everywhere in our world