Home‎ > ‎

Geometry prompts

Click on im for notes, resources and reports on inquiries.
Shapes
im 2-dimensional shapes inquiry
Shapes and circles
im Overlapping shapes inquiry
Angles and shapes
im Four pentagons inquiry
  
im 12 equilateral triangles inquiry
Angles
im Parallel lines inquiry
Area
im Equal areas inquiry 1
The areas of a rectangle, a triangle and a circle are equal.
 
im Equal areas inquiry 2
  
im Inscribed shapes inquiry
A square fits into a circle better than a circle fits into a square.
  
im Fraction of a shape inquiry
Area and perimeter
im 4-by-3 rectangle inquiry
  
Volume and surface area
im Volume and surface area inquiry
The surface area of a cuboid can never be less than its volume.
  
im Volume of a cylinder inquiry
Enlargement
im Enlargement inquiry
Scale factors
im Scale factors inquiry
The surface area and volume of cube B are 
twice the surface area and volume of cube A.
Transformations
im Reflections and coordinates inquiry
If point (a,b) is reflected in the line y = x, then the image will be at (b,a).
  
im Combined transformations inquiry
If you reflect a shape twice in two different lines of reflection, then you can map the object onto the image with one transformation.
Pythagoras' Theorem and trigonometry
im Right-angled triangles inquiry
  
im Four scalene triangles inquiry
  
im Area of a triangle inquiry NEW
Geometry of solids
im Pyramid inquiry NEW
In a right square-based pyramid, the perimeter of the base equals the circumference of the circle whose radius is the height of the pyramid.