Isometric and Similar Figures
Two figures are considered isometric (aka congruent) when the corresponding
angles are equal and the corresponding sides are equal.
Isometry
An isometry is any geometric transformation that does not change the shape
or size of a figure.
o Rotation
o Translation (sliding)
o Reflection (mirror flip)
After undergoing an isometry, the original figure and the resulting figure will still
have equal angles and equal side lengths. The two figures will be isometric
(aka congruent).
The notation for isometric figures is:
Similitude
A similitude is any geometric transformation that changes shape or size of a
figure.
o Dilatation
After undergoing a similitude, the original figure and the resulting figure will not
have equal side lengths. The two figures will be similar.
The notation for similar figures is:
Scale Factor
When dealing with similar figures, you must always give the scale factor, k.
To calculate scale factor:
k=