Geometry Transformations
The Basics…
Geometry Transformations
The Basics…
click to see a concept
map
•
•
•
•
•
•
Click on
the word
to go to
the
definition
Next slide
(Skips the
definitions)
Translation
• A transformation that
moves points the same
distance and in the same
direction
• It is an isometry
• A composition of
reflections in two parallel
lines.
Back to
definitions
Rotations
• An image is turned about a point,
where all points are x° from that
point.
• It is an isometry.
• A composition of reflections in two
intersecting lines is a rotation.
Back to
definitions
Reflections
• When you fold the object
on a line and the same
object appears
• It is an isometry
▲ABC is
reflected
about the y-
axis
Back to
definitions
Glide Reflections
• It is a composition of a
translation and a
reflection
• It is an isometry.
Back to
definitions
Dilation
• Has a center and a scale factor.
• Enlargement- image is larger than
the original
• Reduction- image is smaller than the
original figure.
This is an
enlargement.
Back to
definitions
Isometry
• Original figure and its
image (transformed
figure) are congruent
(same size and shape).
• Translation, Rotation,
Reflection, and Glide
Reflection are isometries.
Back to
definitions
A Famous Person
Who uses transformations
in his work!!!
Biography M.C. Escher
• Maurits Cornelis Escher (1898-1972)
• Click to see a Database of M.C.
Escher.
• He made 448 lithographs, woodcuts
and wood engravings and over 2000
drawings and sketches
• Born in Leeuwarden
• His wife Jetta Umiker, whom he
married in 1924. They settled in
Rome, where they stayed until 1935.
M.C. Escher
• Here is a Video of M.C.
Escher
• His art contains many
types of transformations.
• His website is
http://www.mcescher.com
• Pictures of his containing
transformations.
M.C. Escher Reflection
• Fold on the diagonal
M.C. Escher Translation
• The fish and bird are a
translation
M.C. Escher Rotation
• The stairs are a rotation
The End