Translations, Reflections, Rotations, and Dilations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you perform a translation of a point?

Back

To translate a point, add the translation vector to the coordinates of the point. For example, translating point A(2, 3) by (3, -4) results in A'(5, -1).

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected. Points on the figure are equidistant from this line.

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

How do you determine the image of a point after a rotation?

Back

To find the image of a point after rotation, use the rotation angle and the center of rotation to calculate the new coordinates.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What is the pre-image in transformations?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in transformations?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.