Suggested activities
Students might engage in the following investigations:
Does a translation preserve length?
Does a translation preserve angle size?
Does a translation map a line onto a parallel line?
Does a translation map a triangle onto a congruent triangle?
Does an axial symmetry preserve length?
Does an axial symmetry preserve angle size?
Does an axial symmetry maps a line onto a parallel line?
Does an axial symmetry map a triangle onto a congruent triangle?
How many axes of symmetry does an isosceles triangle have? Page 42 of 104
How many axes of symmetry does an equilateral triangle have?
How many axes of symmetry does a circle have?
(Draw examples of the above.)
Does a central symmetry preserve length?
Does a central symmetry preserve angle size?
Does a central symmetry map a line onto a parallel line?
Does a central symmetry map a triangle onto a congruent triangle?
Does an isosceles triangle have a centre of symmetry?
Does an equilateral triangle have a centre of symmetry?
Which types of triangle have a centre of symmetry?
Does a circle have a centre of symmetry?