Warm Up. Tell whether the ratios form a proportion. Find the missing number. Translations. I can : Define and identify translations. Understand prime notation to describe an image after a translation.
Tell whether the ratios form a proportion.
Find the missing number.
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.
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.
Figures with the same size and shape.
Way to label an image after a transformation.
A B A’ B’
(original before transformation)(image after transformation)
A’ is read as “A prime.”
A translation across the y-axis
A translation across the x-axis
Tell whether the shaded figure is a translation of the non-shaded figure. If it is a translation, use an arrow to represent the direction of the slide.
A transformation representing a flip of a figure over a point, line, or plane.
A line in which you reflect a figure over.
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.
Click on this trapezoid to see reflection.
The result of a figure flipped over a line.
A reflection across the y-axis
RULE: (x, y) (-x, y)
A reflection across the x-axis
RULE: (x, y) (x, -y)
Tell whether the shaded figure is a reflection of the non-shaded figure.
A transformation in which a figure is rotated about a point called the center of rotation.
The number of degrees a figure rotates.
90 Degree Turn
The point in which a figure is rotated.
Turning a figure around a point or a vertex
Same length; rotated 90 degrees clockwiseLines are not parallel
Same degree measure; rotated 90 degrees counter-clockwise
180 Degree Clockwise Rotation
A transformation in which a figure is made larger or smaller with respect to a fixed point called the center of dilation.
In a dilation, it is a fixed point that a figure is enlarged or reduced with respect to it.
The original figure and its image have the same shape but a different size.
The ratio of the side lengths of the image to the corresponding side lengths of the original figure.
To dilate a figure in the coordinate plane, multiply the coordinates of each vertex by a scale factor.
Here we have Igor. He is 3 feet tall and the greatest width across his body is 2 feet.
He wishes he were 6 feet tall with a width of 4 feet.
His center of dilation would be where the length and greatest width of his body intersect.
He wishes he were larger by a scale factor of 2.
Scale factor of 1.5
Scale factor of 3
Scale factor of 0.75
Scale factor of 1/5