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2D and 3D shapes - Coggle Diagram
2D and 3D shapes
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with a rectangle, all angles are equal ({90}^\circ)
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with a rhombus, all sides are of equal length
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with a parallelogram, diagonally opposite angles are equal
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with a kite, two pairs of sides are of equal length
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can be equilateral, isosceles or scalene
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A prism is a 3D shape which has a constant cross section - both ends of the solid are the same shape and anywhere you cut parallel to these ends will give you the same shape.
For example, in the prism below, the cross section is a hexagon.
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Some 3D shapes, like cubes and pyramids, can be opened or unfolded along their edges to create a flat shape.
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with a trapezium, one pair of opposite sides is parallel
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2D shapes are flat, plane shapes. 3D shapes have 3 dimensions - length, width and depth. Architects draw 2D drawings of 3D shapes, called plans and elevations, to see how a building will look.
Within all triangles, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. If two, or three, angles are the same size, then the sides opposite are of equal length.
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Getting nets right
A net has to be able to fold up into the 3D shape. All of the following shapes are nets of a cube.
This {6}~cm\times{6}~cm\times{6}~cm cube has been drawn using the dots as guides. The vertical lines are always vertical, but the horizontal lines are drawn at an angle, when drawn on isometric dotted paper. You could get some isometric paper and draw the cube yourself.
