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

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 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.

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

Coordinate Plane A translation across the y-axis

Coordinate Plane A translation across the x-axis

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

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 Reflection A line in which you reflect a figure over.

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.

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

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

Horizontal flip: Vertical flip:

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

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

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

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

Angle of Rotation The number of degrees a figure rotates. 90 Degree Turn

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

Clockwise Rotations 90 Degree Rotation: 180 Degree Rotation:

Counter-Clockwise Rotations 90 Degree Rotation: 180 Degree Rotation:

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

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

180 Degree Clockwise Rotation