line of symmetry
a line that can divide a polygon into two equal parts
reflections in the coordinate plane
across the x-axis: (x, y) - (x, -y)
across the y-axis: (x, y) - (-x, y)
across the line y=x: (x, y) - (y, x)
translations
(x, y) - (x +a, y+ b)
Rotations
90 degrees about the origin: (x, y) - (-y, x)
180 degrees about the origin: (x, y) - (-x, -y)
270 degrees about the origin: (x, y) - (y, -x)
composition of transformations
one transformation followed by another
glide reflection
the composition of a translation and a reflection across a line parallel to the translation vector.