Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without turning it, maintaining its shape and size.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is dilation in geometry?

Back

Dilation is a transformation that enlarges or reduces a figure by a scale factor relative to a fixed point, called the center of dilation.

Front

What does it mean to rotate a figure 90° clockwise?

Back

To rotate a figure 90° clockwise means to turn the figure 90 degrees in the direction of the clock hands around a specified center point.

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means to flip the figure over the x-axis, changing the sign of the y-coordinates of its points.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated during a rotation transformation.

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio that describes how much a figure is enlarged or reduced during the transformation.

Front

How do you identify a translation on a graph?

Back

A translation can be identified on a graph by observing that all points of the figure move the same distance in the same direction.