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Translations I 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 : Transformatio ns Translations Congruent Figures Parallel lines

Translations

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Translations. I 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 : Transformations Translations Congruent Figures - PowerPoint PPT Presentation

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Page 1: Translations

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

Page 2: Translations

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.

Page 3: Translations

Translation (Slide)

The action of sliding a figure in any direction.

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

Page 4: Translations

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

It can also be in a diagonal direction.

Page 5: Translations

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.

Page 6: Translations

Translation on AnglesThe angle degree stays the

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

Page 7: Translations

Coordinate PlaneA translation across the y-axis

Page 8: Translations

Coordinate PlaneA translation across the x-axis

Page 9: Translations

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

Page 10: Translations

Reflection (Flip) A transformation

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

Page 11: Translations

A reflection creates a mirror image of the original figure.

The original figure and its image are congruent.

Page 12: Translations

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

Page 13: Translations

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.

Page 14: Translations

Reflection of Lines

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

Page 15: Translations

Reflection of AnglesThe angle degree stays the

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

Page 16: Translations

Horizontal flip:

Vertical flip:

Page 17: Translations

Coordinate PlaneA reflection across the y-axis

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

Page 18: Translations

Coordinate PlaneA reflection across the x-axis

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

Page 19: Translations

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

Page 20: Translations

Rotations (Turns) A transformation in

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

Page 21: Translations

Angle of RotationThe number of degrees a figure rotates.

90 Degree Turn

Page 22: Translations

Center of RotationThe point in which a figure is rotated.

Page 23: Translations

Clockwise Rotations90 Degree

Rotation:180 Degree

Rotation:

Page 24: Translations

Counter-Clockwise Rotations90 Degree

Rotation:180 Degree

Rotation:

Page 25: Translations

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

Page 26: Translations

Rotations of AnglesAngles that are rotated will

remain the same degree measure.

Same degree measure; rotated 90 degrees counter-

clockwise

Page 27: Translations

Rotation

180 Degree Clockwise Rotation