Mathematics Specification A - 4MA1 PearsonEdexcel

Polygons

Overview

Polygons range from the humble triangle to shapes with dozens of sides. Understanding their angle properties, symmetry and naming conventions opens the door to multi-step geometry questions that combine several rules at once.

You will learn the properties of common quadrilaterals, calculate interior and exterior angles of regular polygons, and understand what it means for two shapes to be congruent. These facts are tested regularly on both papers.

Objectives

Recognise and give the names of polygons
Understand and use the term 'quadrilateral' and the angle sum property of quadrilaterals
Understand and use the properties of the parallelogram, rectangle, square, rhombus, trapezium and kite
Understand the term 'regular polygon' and calculate interior and exterior angles of regular polygons
Understand and use the angle sum of polygons
Understand congruence as meaning the same shape and size
Understand that two or more polygons with the same shape and size are said to be congruent to each other

Lesson Note

Floor tiles, road signs, honeycomb cells: polygons surround us. Each polygon is a closed, flat shape made of straight sides, and its properties depend on the number of sides it has.

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Lesson Evaluation

Congratulations on completing the lesson on Polygons. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

The sum of the interior angles of a hexagon is: A) 540 B) 720 C) 900 D) 1080 Answer: B
Each exterior angle of a regular polygon is 60 degrees. How many sides? A) 4 B) 5 C) 6 D) 8 Answer: C
Which quadrilateral has diagonals that bisect each other at right angles and are not necessarily equal? A) Rectangle B) Rhombus C) Trapezium D) Kite Answer: B
A regular polygon has an interior angle of 140 degrees. How many sides? A) 7 B) 8 C) 9 D) 10 Answer: C
Two shapes are congruent if they: A) Have the same angles only B) Have the same shape and size C) Have the same number of sides D) Have the same perimeter Answer: B