P1 · Geometry · GEO.SHAPES.BASIC

Recognise and describe basic shapes

Intuition

Understand first, compress later.

Geometry links shape, length, angle, area and space. Sketches make relationships visible.

Switch representations

Dissection: parallelogram to rectangleA = b · h = 6 · 4 = 24

parallelogram / rectanglethe piece that is movedcut perpendicular to the baseheight h

On the left the shape is cut perpendicular to the base; the triangle that comes off travels to the other end. Nothing is lost and nothing is added — so both figures have the same area. What is left on the right is a rectangle with the same measurements 6 and 4: A = b · h = 24. Note: the height is the perpendicular distance between the parallels, not the slanted side.

Formal view

You can recognise and describe basic shapes when you can recognise the underlying objects, select valid rules and check each step for equivalence or logical implication.

Why does it work?

This skill sits on a prerequisite network. If a step is unstable, repair the missing prerequisite instead of merely doing more items of the same type.