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Wk 30  Geometry[1]
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Wk 30 Geometry[1]

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Transcript

  • 1. GCSE Mathematics Geometry
  • 2. Types Of Triangle
    • Isosceles Right angle
    • Equilateral Scalene
  • 3. Types of quadrilateral
    • Square Rectangle Rhombus
    • Kite Parallelogram Trapezium
  • 4. Other Shapes
    • 5 sides Pent agon
    • 6 Sides Hex agon
    • 7 Sides Hept agon
    • 8 Sides Oct agon
    • 9 Sides Non agon
    • 10 Sides Dec agon
  • 5. Angles
    • Angles about a point = 360°
    • Angles on a straight line = 180°
    • Angles in a triangle =180°
    • Angles in a quadrilateral = 360°
    • Angles in a n sided shape =
    • (n-2)x180°
  • 6. Parallel Lines
    • a b
    • c d
    • e f
    • g h
    • a=d=e=h b=c=f=g
  • 7. Bearings
    • All bearings are taken CLOCKWISE from the north
    • All bearings are quoted as 3 digit figures
  • 8. Bearings
    • b a
    • 7 ° 35 °
    • a = 035°
    • b = 353°
    • a
    • 55° b
    • b from a
    • = 125°
    • a from b
    • = 305°
  • 9. Geometrical Movement
    • Translation: Movement left and right, and up and down
    • Reflection: Mirror image produced about a given line
    • Rotation: Movement by a given number of degrees, about a point
    • Enlargement: Made a number of times larger or smaller, about a given point.
  • 10. Geometrical Movement
    • A to B:
    • Reflection in y axis
    • A to C:
    • Translation 3 1
    • A to D:
    • Rotation , 180° about(-0.5,0)
    A C D B
  • 11. Enlargement
    • to
    • Enlargement scale factor 2
    • to
    • Enlargement Scale factor 4
    • to
    • Enlargement Scale factor 0.5
  • 12. Similarity and Congruence
    • Two (or more) shapes are said to be congruent if they are exactly the same.
    • Two or more shapes are said to be similar if one is an enlargement of the other.
  • 13. Similarity and Congruence
    • A B C D
    • A and B are congruent
    • A and C, B and C are similar
  • 14. Similar Triangles
    • 7
    • x
    • 6
    • 26
    • As the triangles are similar, the ratio of compared sides will be the same
    • x/7 =26/13
    • x=14