Perform Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

What is rotation in geometry?

Back

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

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

Dilation is a transformation that enlarges or reduces a shape by a scale factor relative to a center point.

Front

Which transformations preserve the size of a pre-image?

Back

Reflection, rotation, and translation preserve the size of a pre-image.

Front

What happens to the coordinates of a point A(x, y) after a translation of (x + a, y + b)?

Back

The new coordinates will be A'(x + a, y + b).

Front

What is the effect of a 360-degree rotation on a point A(x, y)?

Back

A point A(x, y) remains unchanged after a 360-degree rotation, resulting in A'(x, y).

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the pre-image.

Front

How do you determine the new coordinates after a translation?

Back

To determine the new coordinates after a translation, add the translation values to the original coordinates.