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Level 5-6 Shapes - Polygons
Polygons are 2D shapes with straight sides. Learn names, angle sums, and properties so you can classify shapes and solve perimeter and interior angle problems in KS3 Maths.
1 .
A polygon with all sides the same length and all angles equal is called .......
real
reflex
regular
reliable
A square is a regular quadrilateral
2 .
The exterior angle of a regular n-sided polygon is 45°. What is n?
6
7
8
9
360 ÷ 45 = 8
3 .
A polygon with n sides has an angle sum of .......
180n
180(n + 1)
180(n - 1)
180(n - 2)
3 sides 1 x 180°, 4 sides 2 x 180°, 5 sides 3 x 180°,…. n sides (n - 2) x 180°
4 .
The sum of the interior angles of a pentagon (5 sides) is .......
540°
900°
360°
1,080°
Triangle has 180°, quadrilateral has 360°; each extra side adds 180° to total, so pentagon has 360 + 180°
5 .
Which of these tile shapes will not tesselate with only others of the same shape and size?
Regular hexagon
Isosceles triangle
Regular octagon
Trapezium
Check the angles
6 .
If the interior angle of a regular n-sided polygon is 150°, what is n?
9
10
11
12
Exterior angle is 180 - 150 = 30. 360 ÷ 30 = 12
7 .
A regular quadrilateral is a .......
rectangle
rhombus
square
trapezium
Because its sides and angles are all equal
8 .
In a tile pattern of equilateral triangles, how many tiles will fit around a single point?
3
4
5
6
All angles are 60° and angles around a point add up to 360°
9 .
If the exterior angle of a polygon is 45° what is the corresponding interior angle?
75°
108°
135°
160°
The sum of the exterior and interior angles at any corner is always 180° because they are angles on a straight line
10 .
The sum of the exterior angles of a polygon is .......
180°
360°
720°
it depends on the number of sides
The exterior angle sum of any polygon, no matter how many sides, is always 360°
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