Most of the 2-Dimensional shapes you'll come across in KS3 Maths will be polygons. A polygon is a 2-Dimensional plane (flat) shape with straight sides, such as a triangle or a pentagon. Polygons with equal angles and sides with equal length (like squares or equilateral triangles) are called regular polygons. All others are called irregular polygons.
Some polygons fit together side to side as tiles to cover an area without leaving gaps. This is called tesselation. Squares fit together very well, as do regular hexagons and equilateral triangles. Some shapes, however, leave gaps between their edges and just won't fit together.
There are certain rules which polygons follow. For example, the exterior angles of a regular polygon always add up to 360o, or the interior angles will add up to 180o x (number of sides - 2). A triangle has 3 sides so 180o x 1, a quadrilateral has 4 sides so 180o x 2 etc. Test your knowledge of polygons in this quiz.
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1.
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A polygon with all sides the same length and all angles equal is called ....... |
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real |
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reflex |
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regular |
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reliable |
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2.
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A regular quadrilateral is a ....... |
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rectangle |
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rhombus |
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square |
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trapezium |
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3.
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The sum of the interior angles of a pentagon (5 sides) is ....... |
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540° |
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900° |
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360° |
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1,080° |
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4.
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A polygon with n sides has an angle sum of ....... |
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180n |
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180(n + 1) |
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180(n - 1) |
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180(n - 2) |
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5.
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The sum of the exterior angles of a polygon is ....... |
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180° |
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360° |
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720° |
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it depends on the number of sides |
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6.
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If the exterior angle of a polygon is 45° what is the corresponding interior angle? |
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75° |
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108° |
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135° |
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160° |
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7.
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The exterior angle of a regular n-sided polygon is 45°. What is n? |
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8.
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If the interior angle of a regular n-sided polygon is 150°, what is n? |
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9 |
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10 |
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11 |
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12 |
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9.
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In a tile pattern of equilateral triangles, how many tiles will fit around a single point? |
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10.
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Which of these tile shapes will not tesselate with only others of the same shape and size? |
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Regular hexagon |
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Isosceles triangle |
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Regular octagon |
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Trapezium |
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1.
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A polygon with all sides the same length and all angles equal is called ....... |
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| [ ] |
real |
| [ ] |
reflex |
| [x] |
regular |
| [ ] |
reliable |
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2.
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A regular quadrilateral is a ....... |
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| [ ] |
rectangle |
| [ ] |
rhombus |
| [x] |
square |
| [ ] |
trapezium |
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3.
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The sum of the interior angles of a pentagon (5 sides) is ....... |
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| [x] |
540° |
| [ ] |
900° |
| [ ] |
360° |
| [ ] |
1,080° |
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4.
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A polygon with n sides has an angle sum of ....... |
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180n |
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180(n + 1) |
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180(n - 1) |
| [x] |
180(n - 2) |
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5.
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The sum of the exterior angles of a polygon is ....... |
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| [ ] |
180° |
| [x] |
360° |
| [ ] |
720° |
| [ ] |
it depends on the number of sides |
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6.
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If the exterior angle of a polygon is 45° what is the corresponding interior angle? |
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| [ ] |
75° |
| [ ] |
108° |
| [x] |
135° |
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160° |
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7.
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The exterior angle of a regular n-sided polygon is 45°. What is n? |
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8.
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If the interior angle of a regular n-sided polygon is 150°, what is n? |
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9 |
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10 |
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11 |
| [x] |
12 |
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9.
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In a tile pattern of equilateral triangles, how many tiles will fit around a single point? |
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10.
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Which of these tile shapes will not tesselate with only others of the same shape and size? |
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Regular hexagon |
| [ ] |
Isosceles triangle |
| [x] |
Regular octagon |
| [ ] |
Trapezium |
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