How Do We Use The Other Definitions Of Transformations?

Isometry - length is preserved - the
figures are congruent.

Direct Isometry - orientation is preserved - the order of the lettering in the
figure and the image are the same, either both clockwise or both
counterclockwise.

Opposite Isometry - orientation is not preserved - the order of the lettering is
reversed, either clockwise becomes counterclockwise or counterclockwise
becomes clockwise.

Orientation- Refers to the arrangement of points relative to the one another, after a transformation has occured.

Line Reflection (Opposite Isometry)

-Keeps Distance, Angle Measure, & Parrellism.

-Reverse Orientaton

Point Reflection (Direct Isometry)

-Keeps Distance, Angle Measure & Parrellism.

-Same Orientation

Translations(Direct Isometry)

-Keeps Distance, Angle Measure & Parrellism.

-Same Orientation.

Rotations (Direct Isometry)

-Keeps Distance, ANgle Measure & Parrellism.

-Same Orientation.

Diolation(Not Isometry)

-Keeps Angle Meauser & Parrellism.

-Lengths Not Same.

Great! Now Solve The Following Problem:

Which of the following transformations creates a figure that is similar (but not congruent) to the original figure? I. translation II. rotation III. dilation

[1] I only [2] II only [3] III only [4] II and III