so that side and angle properties are easily deduced as a result of the transformation
[GeoGebra is fine for this]
for a 180 degree rotation of a triangle about the mid-point of a side:
what angle and length properties follow from this transformation (rotation)?
what triangle do you need to start with to generate these quadrilaterals with a half turn about a mid-point:
- 60, 120 rhombus?
for a reflection of a triangle:
what shape is created?
what angle and length properties can be deduced from the transformation (reflection)?
using a reflection, how do you create:
- an arrowhead
- a rhombus
- a square?
what angle properties exist when you reflect an isosceles triangle?
an equilateral triangle?
for trapeziums it is not so easy to see how to generate these from a transformation (an isometry)
but you can cheat a bit and use an enlargement
and the 'bit extra' is a trapezium:
what properties of the shape can you deduce from the enlargement transformation?
how can a formula for the area of a trapezium be developed from the areas of the two similar triangles when the scale factor is 2 (and in general, using similar triangle ratios)?