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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