GCSE Maths Practice: polygons

Question 9 of 10

This question tests knowledge of properties of a regular octagon.

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\( \begin{array}{l}\text{Which of the following are true for a regular octagon?}\end{array} \)

Select all correct options:

Remember: All sides and angles equal. Sum formula: (n-2)×180°.

Regular polygons have equal sides and equal interior angles. For an octagon, there are 8 sides. The sum of interior angles is calculated using (n-2) × 180° = (8-2) × 180 = 1080°. Each exterior angle is 360° ÷ 8 = 45°. Recognizing these properties helps in geometric reasoning, drawing diagrams, and solving GCSE polygon problems. Understanding regular polygons also assists with similarity and congruence problems, scale drawings, and architecture or design applications. Visualizing angles and sides consistently aids in faster problem solving and ensures accuracy in calculations.