Geometry Transformation Test

Front

What is a translation in geometry?

Back

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

Front

How do you determine the translation vector?

Back

The translation vector is determined by the change in the x-coordinates and y-coordinates of the points before and after the transformation.

Front

What is a reflection in geometry?

Back

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

Front

What is the difference between reflection over the x-axis and y-axis?

Back

Reflection over the x-axis changes the sign of the y-coordinate, while reflection over the y-axis changes the sign of the x-coordinate.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

A 90° clockwise rotation transforms (x, y) to (y, -x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

How do you find the coordinates after a translation?

Back

To find the new coordinates after a translation, add the translation vector to the original coordinates.

Front

What is the scale factor in dilation?

Back

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

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the shape.