maths

• Parallel lines


  Like railway lines, they don't have to have the same length but they are always the same distance apart
• Parallel lines


  • Can have the same length but they must be parallel, always the same distance apart
• Identifying parallel lines


  They will show you by using those arrows
• Identifying angles when lines are parallel


  1. Draw a line going through the parallel lines

  2. The angle where the line intersects the parallel lines will be the same

  3. This forms an 'F' shape

  4. The angles in the 'F' shape are called corresponding angles and are equal

  5. The angles on the other side of the parallel lines form a 'U' shape

  6. The angles in the 'U' shape add up to 180 degrees but are not equal

  7. The angles between the parallel lines and the intersecting line form a 'Z' or 'N' shape

  8. The angles in the 'Z' or 'N' shape are called alternate angles and are equal
• If one angle in the 'Z' or 'N' shape is 70 degrees, the other angle will also be 70 degrees
• The angles in the 'U' shape add up to 180 degrees
• Corresponding angles


  Angles in the 'F' shape that are equal
• Co-interior angles


  Angles in the 'U' shape that add up to 180 degrees
• Alternate angles


  Angles in the 'Z' or 'N' shape that are equal
• In Diagram 1, the angles forming the 'Z' shape are equal, so x = 45 degrees
• In Diagram 2, the angles forming the 'U' shape add up to 180 degrees, so x = 60 degrees
• In Diagram 3, the angles forming the 'F' shape are equal, so x = 60 degrees, y = 80 degrees, and z = 120 degrees
• In Diagram 4, the angles forming the 'Z' and 'F' shapes are equal, so x = 70 degrees, y = 30 degrees, and z = 30 degrees