___________
Maths
Geometrical properties: similarity and Pythagoras' theorem

Starter quiz

  • Which of these sides is a hypotenuse?
    Which of these sides is a hypotenuse?
    • side A
    • side B  ✓
    • side C
    • none of them are hypotenuses
    • it is impossible to tell
  • The triangle formed from these three squares is right-angled. What is the value of <Math>n</Math>, where <Math>n</Math> units² is the area of a square.
    The triangle formed from these three squares is right-angled. What is the value of n, where n units² is the area of a square.
    • 2
    • 4.9
    • 12
    • 24  ✓
    • 290
  • If three squares with different areas are joined at their vertices, what type of triangle would be formed?
    • acute triangle
    • scalene triangle  ✓
    • isosceles triangle
    • equilateral triangle
  • Angle <Math>a°</Math> is an acute angle, but is the largest angle in this triangle. Which of these are possible values of <Math>t</Math>, where <Math>t</Math> units² is the area of a square.
    Angle a° is an acute angle, but is the largest angle in this triangle. Which of these are possible values of t, where t units² is the area of a square.
    • 17
    • 19  ✓
    • 20  ✓
    • 32
    • 34
  • Which of these are true for the Pythagoras' theorem?
    • Describes a property of only equilateral triangles.
    • Describes a property of only right-angled triangles.  ✓
    • Describes a relationship between the squares of the side lengths of a triangle.  ✓
    • Describes a relationship between the interior angles of a triangle.
    • Describes a relationship between squares formed from the sides of a triangle.  ✓
  • A right-angled triangle is formed from three squares. The area of two of the squares are 75 units² and 25 units². What are the possible areas of the third square?
    • 3 units²
    • 25 units²
    • 50 units²  ✓
    • 100 units²  ✓
    • 6250 units²
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