Learn about the appearance backdrop acclimated to analyze the names of altered approved and aberrant polygons, such as triangles or hexagons.
This assignment includes:
Created in affiliation with GCSEPod
A polygon is any 2-dimensional (2D) appearance which is fabricated up of beeline lines. Triangles, quadrilaterals and octagons are all types of polygon, anniversary with a altered cardinal of sides. A amphitheater is not a polygon because it does not accept beeline edges.
A polygon can be approved or irregular.
A approved polygon has all abandon of according length, and all angles of according size.
An aberrant polygon has abandon of altered lengths and angles of altered sizes.
Examples
A aboveboard is a approved polygon as all of its 4 abandon are according in breadth and all of its 4 angles are the aforementioned size, 90°.
A rectangle is an aberrant polygon because it does not accept 4 abandon of according length, admitting it does accept appropriately sized angles.
A rhombus is an aberrant polygon because although it does accept 4 abandon of according length, it does not accept appropriately sized angles.
When cartoon a polygon, dashes or bear marks are acclimated to announce coinciding sides. Coinciding agency the abandon are of according length. Abandon with altered numbers of bear marks on them are not the aforementioned length.
Arcs and bifold arcs, like in the angel of the rhombus above, can be acclimated to announce angles which are the aforementioned size.
The aboveboard in the angel aloft shows 4 abandon with distinct bear marks, acceptation those abandon are all according in length.
The rectangle shows 2 abandon (top and bottom) with a distinct bear mark, acceptation those abandon are according in length. It additionally has 2 abandon (left and right) with bifold bear marks, advertence that those abandon are additionally according in length.
The rhombus shows 2 angles (top and bottom) adumbrated by a distinct arc, acceptation those angles are both according in size. It additionally has 2 angles (left and right) adumbrated by bifold arcs, so afresh acceptation that those angles are according in size.
Polygons accept altered names depending on their properties. The cardinal of abandon that a polygon has is represented by its name.
Look at the altered names in the table adverse that are acclimated for altered types of polygons, according to how abounding abandon they anniversary have.
Other accurate words are additionally acclimated to call accepted shapes – for example, a ‘regular triangle’, which has 3 according sides, is usually referred to as an boxlike triangle. Don’t abash this with the added types of triangle – an isosceles triangle that has two according abandon and a scalene triangle that has no according sides.
A ‘regular quadrilateral’ is commonly aloof alleged a square.
Other approved polygons accept the prefix ‘regular’ followed by their name, eg approved hexagon.
If a polygon is irregular, you use the appellation in a agnate way, eg aberrant pentagon.
Before you move on to practise what you’ve learned, watch this abbreviate arbitrary video from GCSEPod to accomplish abiding you accept what you’ve read.
GCSEPod – Names and backdrop of approved polygons
Know the names and backdrop of approved and aberrant polygons
Test what you apperceive about altered types of polygons with this worksheet from GCSEPod. You may apperceive some of the shapes by a different, added common, name (such as ‘star’) but you charge to use their actual polygon name, and additionally accompaniment whether they are approved or irregular. Write your answers on a allotment of paper.
Click actuality for the acknowledgment sheet.
More on polygons: perimeter
For some added convenance in compassionate the backdrop of polygons, accept a go at this abutting action from GCSEPod that tests your abilities in attractive at the ambit of polygons. If you charge a epitomize on how to assignment with perimeters, booty a attending at this adviser from BBC Bitesize, KS3 Maths first.
The appellation admixture appearance is acclimated in catechism 4 – you can additionally apprehend about what that agency in the aforementioned guide.
Write your answers on a allotment of paper.
Click actuality for the acknowledgment sheet.
Have a attending at these added assets about the BBC and the web.
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