Patterns and Isometries

What is a one-to-one transformation from one geometric space onto itself which retains all elements such as length, angle measure, and area; this is also known as a rigid transformation.

• shape

• pattern

• isometry

• symmetry

Objects can be considered _________ when they have the same size and shape, and are identical to another when turned, flipped, or slid.

• isometric

• symmetric

• similar

• different

A transformation is...

• is a figure with at least one non-trivial symmetry.

• is a design that has a translation symmetry.

• is when a figure can be rotated less than 360° on a point resulting in a new indistinguishable figure.

• a process of one-to-one mapping of the points of the plane

What type of transformation is seen in the photo above?

• translation

• reflection

• rotation

• dilation

A special type of isometric transformation has a reflection followed by a translation is called

• slide reflection

• glide rotation

• glide reflection

• slide rotation

_______ Theorem states that every motion of the plane is one of the following transformations: translation, rotation, reflection, and guide reflection

The image above shows...

• a regular tessellation

• a semi-regular tessellation

• a irregular tessellation

TRUE or FALSE: Rotational symmetry is when a figure can be rotated less than 360° on a point resulting in a new indistinguishable figure.

• TRUE

• FALSE

The two classifications of the rosette pattern are:

• rosette, cylic

• diherdal, rosette

• cylic, dihedral

• cycle, dihedral

What pattern is seen above?

• rosette pattern

• frieze pattern

• wallpaper pattern

• tessellation