Translations vocab

Vector

a quantity that has both magnitude and direction

Transformation

A function that moves or changes a figure in some way to produce an image

Translation

Moves every point on a figure that same distance + direction maps.

Rigid Motion 

Transformation that preserves length + angle measure

Translation postulate

translation w/ rigid motion

Composition of Transformations

2 or more transformations are performed

Composition Thm

the composition of 2 or more rigid motions is a rigid motion

Rotations

a transformation in which a figure is turned about a fixed point called the center of rotation 

Rotation postulate 

A rotation is a rigid motion 

Rotational symmetry

a figure can be mapped onto itself by a rotation of 180 degrees or less about the center of the figure. point of rotation = center of symmetry 

Reflection 

a transformation that uses a line like a mirror to reflect a figure 

Line of reflection

mirror line

Reflection postulate

a reflection is a rigid motion

Glide reflection

transformation moving translation then a reflection on the same line

Line of symmetry

line of reflection

Line symmetry

when a figure can be mapped onto itself by a reflection in a line