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Topic: Properties of Angles and Shapes (Higher - Unit 3)

Specification References: G1.1

G1.1 Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines and opposite angles at a vertex.


Candidates should be able to:

  • work out the size of missing angles at a point
  • work out the size of missing angles at a point on a straight line
  • know that vertically opposite angles are equal
  • distinguish between acute, obtuse, reflex and right angles
  • name angles
  • estimate the size of an angle in degrees
  • justify an answer with explanations such as ‘angles on a straight line’, etc.
  • use one lower case letter or three upper case letters to represent an angle, for example x or ABC 
  • understand that two lines that are perpendicular are at 90o to each other 
  • draw a perpendicular line in a diagram
  • identify lines that are perpendicular
  • use geometrical language
  • use letters to identify points, lines and angles

    Examples

    1. Three angles form a straight line. Two of the angles are equal. One of the angles is 30° more than another angle. Work out two possible values for the smallest angle. 

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  1. There are three angles at a point. One is acute, one is obtuse and one is reflex. Write down one possible set of three angles.

  2. Given two intersecting lines with angles x and 4x at the vertex, work out the larger angle.