GCSE Secondary Maths Age 13-17 - Shapes & Area: Regular Shapes - Explained

The video tutorial explains the composition of a star shape made from a regular hexagon and six congruent equilateral triangles. It defines key terms 'regular' and 'congruent' and demonstrates how to calculate the area of the star shape and its components. The star shape's total area is 96 cm², and the hexagon's area is calculated to be 48 cm² by dividing the star into 12 congruent triangles, each with an area of 8 cm². The tutorial emphasizes understanding the terms 'regular' and 'congruent' as crucial for solving the problem.

What is a regular hexagon?

• A hexagon with all angles equal but sides unequal

• A hexagon with only opposite sides equal

• A hexagon with all sides and angles equal

• A hexagon with no equal sides or angles

What does the term 'congruent' mean in geometry?

• Shapes that are identical in size and shape

• Shapes that have the same perimeter

• Shapes that have the same area but different shapes

• Shapes that are similar in appearance

How many congruent triangles make up the star shape?

• 6

• 12

• 10

• 8

What is the area of each congruent triangle in the star shape?

• 6 cm²

• 12 cm²

• 8 cm²

• 10 cm²

What is the area of the regular hexagon within the star shape?

• 54 cm²

• 48 cm²

• 42 cm²

• 36 cm²