Geometry Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you describe the translation of a point?

Back

To describe the translation of a point, you specify the change in the x-coordinate and the change in the y-coordinate.

Front

What is the notation for a translation of (x, y) by (a, b)?

Back

The notation is (x + a, y + b).

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

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point is (x, -y).

Front

What is the rule for reflecting a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point is (-x, y).

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure.

Front

How do you determine the scale factor for a dilation?

Back

The scale factor is determined by the ratio of the lengths of corresponding sides of the original figure and the image.

Front

What is the notation for a composition of transformations?

Back

The notation for a composition of transformations is written from right to left, indicating the order of transformations.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.