Generalising and comparing generalisations

Generalising and comparing generalisations

Lesson details

Key learning points

  1. In this lesson, we will combine everything learnt so far about angles in polygons to compare how specific examples relate to generalised cases.

Licence

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5 Questions

Q1.
The mean interior angle of a quadrilateral is...
180 degrees
360 degrees
45 degrees
Correct answer: 90 degrees
Q2.
The mean exterior angle of a pentagon is...
108 degrees
360 degrees
60 degrees
Correct answer: 72 degrees
Q3.
If I have a regular polygon with an exterior angle of 5 degrees, how many sides does my polygon have?
36 sides
5 sides
50 sides
Correct answer: 72 sides
Q4.
A square would have both an interior and exterior angle of 90 degrees
False
Correct answer: True
Q5.
If I had a shape with 180 sides, what would the mean exterior angle be?
180 degrees
Correct answer: 2 degrees
3 degrees
4 degrees

5 Questions

Q1.
The exterior angles of a hexagon sum to 540 degrees.
Correct answer: False
True
Q2.
A triangle ALWAYS has each exterior angle as 60 degrees.
Correct answer: False
True
Q3.
The general formula for working out the mean exterior angle of an n-sided polygon is...
180(n-2)
360
Correct answer: 360/n
n/360
Q4.
The calculation to work out the sum of the interior angles for an octagon would be...
180 x n
Correct answer: 180(8 - 2)
360 x
360(8 - 2)
Q5.
180n - 360 is a generalisation that tells us the...
Sum of the angles around a point
Sum of the angles on a straight line
Sum of the total exterior angles of a polygon
Correct answer: Sum of the total interior angles of a polygon

Lesson appears in

UnitMaths / Angles in polygons