8. Angle Transformations




Let's start with the basics of angles. Angles are essentially the slantiness of something .

Below are examples of what angles look like. You don't need to know the names of the types of angles, but that they:

  • Measure the degree of things – look at the shaded areas.
  • A full angle is 360 and that's the "whole circle".
  • They are a fraction of the whole circle.

Within abstract reasoning angles appear quite a bit:

  • In shapes – they are a component of a shape transformation. Think about a rhombus (diamond) to a kite.
  • In direction and positioning – if you've got something that's moving anticlockwise on each corner of a square, you've got an angle movement of 90 degree each time starting at North West.

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In angle transformations we discover a** new type** – when angles change their degree e.g. increasing degree, decreasing degree, repeating degree.

Angles themselves can also form patterns such as:

  • Increasing or decreasing by x degrees each time for example, increasing by 45 degrees for each movement or reducing by 90 degrees each time.
  • They can fractionalize a full image with their angles by increasing or decreasing the portion available for viewing.

Let's illustrate this with some examples to get your understanding up:

Example 1

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Source: http://www.schools.nsw.edu.au/media/downloads/schoolsweb/learning/k\_6assessments/ss/gatest1.pdf

Example 2

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Example 3

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Key Rules to remember:

  • Increasing or decreasing by x degrees each time for example, increasing by 45 degrees for each movement or reducing by 90 degrees each time.
  • They can fractionalize a full image with their angles by increasing or decreasing the portion available for viewing.

Now it's time to do your assignment.

  1. Download the assignment question here.
  2. Print it out or if you want to do it electronically, save it.
  3. Complete the questions to it.
  4. Then check the solutions on the video below.
  5. For the answers in text instead of video, download them here.




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