Geometric Transformations and Basic Properties

This page introduces fundamental geometric transformations and quadrilateral properties. The content covers rigid motions where shapes maintain their size and form through various transformations.

Definition: Rigid motion refers to geometric transformations that preserve the size and shape of figures.

Example: In a translation moving right 1 and down 2, the point (x,y) becomes (x+1, y-2).

Vocabulary: CW stands for clockwise, while CCW represents counterclockwise in rotational transformations.

Highlight: Key transformation rules include:

• Translation: Movement in any direction
• Reflection: Across x-axis, y-axis, or y=x line
• Rotation: 90°, 180°, or 270° turns

The page also details properties of various quadrilaterals:

Definition: A parallelogram is a quadrilateral with opposite sides parallel and equal, opposite angles equal, and diagonals that bisect each other.

Special attention is given to squares, rectangles, rhombuses, and their unique characteristics regarding sides, angles, and diagonals.