The lines CF and DG are perpendicular. All four triangles are
congruent, because they are all right-angled triangles and all have
two congruent sides.
2) This in the reflection in respect to the y
axis. Figure 2
3) This is the identity transformation, each point
being left as is was: Figure 3
4) Each point of the plane, i.e. the
points inside or on the edges and vertices of the unit square
transform into points with the same abscissa and with opposite sign
ordinate: Figure 4
5. ' The same as Figure 3, but only if the
identity of the vertices is lost. Being a reflection in respect to
the line y = x, and starting from a square with two vertices on it,
we obtained in fact a rotated square..
6. ' The effect on the
square is the same as the one described by transformation 4, see
Fig. 4.
7. ' The same as Figure 1.
8. ' The same as Figure 2.