Mathematics Specification A - 4MA1 PearsonEdexcel

Polygons

Gbogbo ọrọ náà

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.

Ebumnobi

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

Akọmọ Ojú-ẹkọ

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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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Polygons. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

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