Students will be able to:
Use coordinates to describe the rules of a translation.
Translate a two-dimensional figure on a coordinate plane by mapping each of its vertices.
A translation moves every point of a figure the same distance in the same direction. The original figure and its translated image are the same size and shape, only at different locations.
TRANSLATIONS
A translation, or slide, is a transformation that moves every point of a
figure the same distance and in the same direction.
COORDINATE PLANE DIAGRAM
The orange triangle DEF is the preimage. The blue triangle D'E'F' is the
image after the translation. The figure slides to the right and upward;
the shape and dimensions remain unchanged.
A translation maps angles to angles with the same measure:
m∠D = m∠D'
m∠E = m∠E'
m∠F = m∠F'
A translation maps line segments to line segments of the same length:
DE = D'E'
DF = D'F'
EF = E'F'