unit 4

• Geometry of Straight Lines and 2D Shapes

  • Geometry of Straight Lines
  • Triangles, Quadrilaterals and Circles
  • Similar and Congruent Figures
• Identify the given pair of lines

  1. Parallel

  2. Perpendicular

  3. Intersecting
• Parallel lines


  Lines that never meet
• Ray


  Has a definite starting point, but no definite end point
• Line segment


  Has a definite starting point and a definite end point
• Parallel lines meet one another at 90°
• A ray has a definite starting point, but no definite end point
• Lines can only be straight
• A line segment has a definite starting point and a definite end point
• Lines are considered parallel if they never meet
• Classify the triangles


  According to their sides and angles

  
• Calculate the value(s) of m, n and/or p

  Provide reasons
• Properties of quadrilaterals


  • Square
  • Rhombus
  • Trapezium
• Find the lengths of CD and AD

  Given: ABCD is a parallelogram with AB = 24 mm and BC = 48 mm
• Find the lengths of JM and LM

  Given: JKLM is a kite with JK = 3 cm and KL = 6 cm
• Write down the names of the angles that are equal

  Given: JKLM is a kite with JK = 3 cm and KL = 6 cm
• Edge of a circle


  The circumference of the circle
• Radius of a circle

  The distance from the centre of the circle to the edge
• The diameter of a circle is a line that passes through the centre and connects two points on the edge
• Similar shapes


  Shapes that have the same shape but different sizes
• Congruent shapes


  Shapes that have the same size and shape
• Identify two similar triangles


  Look for the same angles and proportional sides

  
• Identify two similar quadrilaterals

  Look for the same angles and proportional sides
• ABCD and EFGH are parallelograms


  They are not similar
• Show that the triangles are similar


  Look for the same angles and proportional sides

  
• Explain why the shapes are congruent

  Look for the same size and shape
• Geometry of Straight Lines and 2D Shapes

  • Geometry of Straight Lines
  • Triangles, Quadrilaterals and Circles
  • Similar and Congruent Figures
• Identify the given pair of lines

  1. Parallel

  2. Perpendicular

  3. Intersecting
• Parallel lines


  Lines that never meet
• Ray


  Has a definite starting point, but no definite end point
• Line segment


  Has a definite starting point and a definite end point
• Parallel lines meet one another at 90°
• A ray has a definite starting point, but no definite end point
• Lines can only be straight
• A line segment has a definite starting point and a definite end point
• Lines are considered parallel if they never meet
• Classify the triangles


  According to their sides and angles

  
• Calculate the value(s) of m, n and/or p

  Provide reasons
• Properties of quadrilaterals


  • Square
  • Rhombus
  • Trapezium
• Find the lengths of CD and AD

  Given: ABCD is a parallelogram with AB = 24 mm and BC = 48 mm