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**Translations I can: Vocabulary: 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 Parallel lines

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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.

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**Translation (Slide) The action of sliding a figure in any direction.**

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

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

It can also be in a diagonal direction.

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Translation on Lines The 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.

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Translation on Angles The angle degree stays the same, the angle is just slid to a new location.

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Coordinate Plane A translation across the y-axis

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Coordinate Plane A translation across the x-axis

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**Reflections I can: Vocabulary: 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: Reflections Line of Reflection Line of Symmetry

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Reflection (Flip) A transformation representing a flip of a figure over a point, line, or plane.

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**A reflection creates a mirror image of the original figure.**

The original figure and its image are congruent.

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Line of Reflection A line in which you reflect a figure over.

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Line of Symmetry A 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.

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

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Reflection of Angles The angle degree stays the same, the angle is just the mirror image of the original angle.

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Horizontal flip: Vertical flip:

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Coordinate Plane A reflection across the y-axis RULE: (x, y) (-x, y)

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Coordinate Plane A reflection across the x-axis RULE: (x, y) (x, -y)

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**Rotations I can: Vocabulary: 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: Rotations Angle of Rotation Center of Rotation

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

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**Angle of Rotation The number of degrees a figure rotates.**

90 Degree Turn

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Center of Rotation The point in which a figure is rotated.

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Clockwise Rotations 90 Degree Rotation: 180 Degree Rotation:

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**Counter-Clockwise Rotations**

90 Degree Rotation: 180 Degree Rotation:

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**Same length; rotated 90 degrees clockwise Lines are not parallel**

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

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**Same degree measure; rotated 90 degrees counter-clockwise**

Rotations of Angles Angles that are rotated will remain the same degree measure. Same degree measure; rotated 90 degrees counter-clockwise

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**180 Degree Clockwise Rotation**

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