Geometry Final, Second Semester

Front 1

image

Back 1

a new figure that results from the transformation of a figure in a plane

Front 2

pre-image

Back 2

the original figure in the transformation of a figure in a plane

Front 3

transformation

Back 3

the operation that maps or moves a pre-image onto an image

Front 4

isometry

Back 4

a transformation that preserves lengths. also known as rigid transformations

Front 5

reflection

Back 5

a type of transformation that uses a line that acts like a mirror, with an image reflected in the line

Front 6

line of symmetry

Back 6

a line that a figure in the plane has is the figure can be mapped onto itself by a reflection in the line

Front 7

rotation

Back 7

a type of transformation in which a figure is turned about a fixed point

Front 8

center of rotation

Back 8

the fixerd point is called the center of rotation

Front 9

angle of the rotation

Back 9

the angle formed when rays are drawn from the center of rotation to a point and its image

Front 10

translation

Back 10

a transformation that maps every two point P and Q in the plane to points P' and Q' so that PP'=QQ'

Front 11

vector

Back 11

a quantity that has both direction and magnitude, and is represented by an arrow drawn between two points

Front 12

component form

Back 12

component form of a vector is the form that combines the horizontal and vertical components of the vector

Front 13

glide reflection

Back 13

a transformation in which every point P is mapped onto a point P' by the followingtwo steps: 1) a translation maps P onto P'. 2) a reflection, in a line K parallel to the direction of the translation maps P onto P'

Front 14

composition

Back 14

when two or more transformations are combined to produce a single transformation, the result is called a composition of the transformation.

Front 15

frieze pattern

Back 15

a pattern that extends to the left and right in such a way that the pattern can be mapped onto itself by a horizontal translation