Angles, Polygons and Geometrical Proof

  • Partly Circles
    problem
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    Partly Circles

    Age
    14 to 16
    Challenge level
    3 out of 3

    What is the same and what is different about these circle questions? What connections can you make?

  • Trapezium made of wooden tangram pieces, including a square and a parallelogram.
    problem
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    Quad in Quad

    Age
    14 to 18
    Challenge level
    2 out of 3

    Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

  • Kite in a Square
    problem
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    Kite in a Square

    Age
    14 to 18
    Challenge level
    2 out of 3

    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Subtended angles
    problem

    Circumference Angles

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you prove the angle properties described by some of the circle theorems?