Year 7 Angles and Polygons

Angles
1. Alternate
  1. Are equal
  2. In a 'Z' shape
2. Corresponding
  1. Are equal
  2. They are in an 'F' shape
    1. One above and one below or one on the left and one on the right
Polygons
1. Quadrilaterals
  1. Square
    1. Has 4 equal sides
    2. Has 4 equal angles
      1. 90 degrees
    3. 2 pairs of parallel sides
    4. 4 lines of reflection symmetry
    5. Rotation order 4
  2. Rectangle
    1. 4 equal angles
      1. 90 degrees
    2. 2 pairs of parallel sides
    3. Rotation order 2
    4. 2 lines of symmetry
    5. 2 pairs of equal sides
  3. Kite
    1. 1 line of symmetry
    2. 1 pair of equal angles
    3. Rotation order 1
    4. 2 pairs of equal sides
  4. Parallelogram
    1. 2 pairs of equal angles
    2. 2 pairs of equal sides
    3. 2 pairs of parallel sides
    4. Rotation order 2
  5. Trapezium
    1. 1 pair of parallel sides
    2. Rotation order 1
    3. Can have 1 line of symmetry if it's isosceles
  6. Rhombus
    1. 4 equal sides
    2. 2 pairs of equal angles
    3. No lines of symmetry
    4. rotation order 2
2. Interior angles
  1. To find them you do 180 - the exterior angle
    1. eg for a pentagon you would do 180 - 72 = 108 degrees
  2. They are the angles inside a shape
3. Exterior angles
  1. They always add up to 360
  2. They are the angles between where one side would have gone if it was longer, and the side next to it
  3. To find them you do 360 divided by how many sides there are
    1. eg for a pentagon you would do 360 divided by 5 = 72 degrees

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Year 7 Angles and Polygons

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