TranslationsI can:Define and identify

translations.Understand prime

notation to describe an image after a translation.

I can describe the changes occurring to the x and y coordinates of a figure after a translation.

Vocabulary:TransformationsTranslationsCongruent

FiguresParallel lines

Transformations

change the position of a shape on a coordinate plane.

*What that really means is that a shape is moving from one place to another.

Translation (Slide)

The action of sliding a figure in any direction.

*We use an arrow to represent the direction of the slide.

A translation does not need to be in a vertical or horizontal direction.

It can also be in a diagonal direction.

Translation on LinesThe size stays the same, the object

is just slid to a new location.

The lines are considered parallel lines- lines are parallel if they lie in the same plane, and are the same distance apart over their entire length.

Translation on AnglesThe angle degree stays the

same, the angle is just slid to a new location.

Coordinate PlaneA translation across the y-axis

Coordinate PlaneA translation across the x-axis

ReflectionsI can:Define and identify

reflections.Understand prime notation

to describe an image after reflection.

Identify lines of reflection. I can describe the changes

occurring to the x and y coordinates of a figure after a reflection.

Vocabulary:ReflectionsLine of

ReflectionLine of

Symmetry

Reflection (Flip)

A transformation representing a flip of a figure over a point, line, or plane.

A reflection creates a mirror image of the original figure.

The original figure and its image are congruent.

Line of ReflectionA line in which you reflect a figure over.

Line of SymmetryA line that can be drawn through a plane figure so that the figure on one side is the reflection image of the figure on the opposite side.

Reflection of Lines

The size stays the same, the object is just the mirror image of itself.

Reflection of AnglesThe angle degree stays the

same, the angle is just the mirror image of the original angle.

Horizontal flip:

Vertical flip:

Coordinate PlaneA reflection across the y-axis

RULE: (x, y) (-x, y)

Coordinate PlaneA reflection across the x-axis

RULE: (x, y) (x, -y)

RotationsI can:Define and identify

rotations. Identify corresponding

sides.Understand prime

notation to describe an image after a rotation.

Identify center of rotation. Identify direction and

degrees of a rotation.

Vocabulary:RotationsAngle of

RotationCenter of

Rotation

Rotations (Turns)

A transformation in which a figure is rotated about a point called the center of rotation.

Angle of RotationThe number of degrees a figure rotates.

90 Degree Turn

Center of RotationThe point in which a figure is rotated.

Clockwise Rotations90 Degree

Rotation:180 Degree

Rotation:

Counter-Clockwise Rotations

90 Degree Rotation:

180 Degree Rotation:

Rotations of Lines

A line that rotates remains the same length, but will not necessarily remain parallel.

Same length; rotated 90 degrees clockwise

Lines are not parallel

Rotations of AnglesAngles that are rotated will

remain the same degree measure.

Same degree measure; rotated 90 degrees counter-

clockwise

Rotation

180 Degree Clockwise Rotation