Year 7 Angles and Polygons

Year 7 Angles and Polygons

1. Angles

   • Alternate
     • Are equal
     • In a 'Z' shape
   • Corresponding
     • Are equal
     • They are in an 'F' shape
       • One above and one below or one on the left and one on the right

2. Polygons

   • Quadrilaterals
     • Square
       • Has 4 equal sides
       • Has 4 equal angles
         • 90 degrees
       • 2 pairs of parallel sides
       • 4 lines of reflection symmetry
       • Rotation order 4
     • Rectangle
       • 4 equal angles
         • 90 degrees
       • 2 pairs of parallel sides
       • Rotation order 2
       • 2 lines of symmetry
       • 2 pairs of equal sides
     • Kite
       • 1 line of symmetry
       • 1 pair of equal angles
       • Rotation order 1
       • 2 pairs of equal sides
     • Parallelogram
       • 2 pairs of equal angles
       • 2 pairs of equal sides
       • 2 pairs of parallel sides
       • Rotation order 2
     • Trapezium
       • 1 pair of parallel sides
       • Rotation order 1
       • Can have 1 line of symmetry if it's isosceles
     • Rhombus
       • 4 equal sides
       • 2 pairs of equal angles
       • No lines of symmetry
       • rotation order 2
   • Interior angles
     • To find them you do 180 - the exterior angle
       • eg for a pentagon you would do 180 - 72 = 108 degrees
     • They are the angles inside a shape
   • Exterior angles
     • They always add up to 360
     • They are the angles between where one side would have gone if it was longer, and the side next to it
     • To find them you do 360 divided by how many sides there are
       • eg for a pentagon you would do 360 divided by 5 = 72 degrees