Transformations Review

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 perform a translation of a shape?

Back

To translate a shape, you add the translation vector to each point of the shape. For example, to translate a point (x, y) by (a, b), the new point will be (x+a, y+b).

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

What are the four types of transformations in geometry?

Back

The four types of transformations are translations, reflections, rotations, and dilations.

Front

If a shape is rotated 90 degrees clockwise, how do the coordinates change?

Back

For a point (x, y), after a 90-degree clockwise rotation, the new coordinates will be (y, -x).

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations preserve the shape and size of a figure (translations, rotations, reflections), while non-rigid transformations can change the size (dilations).

Front

How do you find the image of a point after a translation?

Back

To find the image of a point after a translation, add the translation vector to the original point's coordinates.

Front

What is the result of reflecting a point (a, b) across the y-axis?

Back

The result of reflecting a point (a, b) across the y-axis is (-a, b).

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, by a certain angle.