Question

define and give an example of:
rigid motion:

dilation:

Explanation:

Rigid motion is a transformation that preserves distances and angles. It includes translations (sliding), rotations (turning), and reflections (flipping). For example, sliding a book across a table is a translation, which is a type of rigid motion. Dilation is a transformation that changes the size of a figure but not its shape. If the scale factor is greater than 1, it is an enlargement; if it is between 0 and 1, it is a reduction. For instance, using a scale factor of 2 to make a triangle twice as big in all dimensions is a dilation.

Answer:

Rigid Motion: A transformation that preserves distances and angles (e.g., translating a book across a table). Dilation: A transformation that changes the size of a figure (e.g., enlarging a triangle with a scale factor of 2).