Geometry Transformations Practice Test

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define reflection in geometry.

Back

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

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result is the point (x, -y).

Front

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

Back

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

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

The new coordinates after a 180-degree rotation are (-x, -y).

Front

What is the significance of a 360-degree rotation?

Back

A 360-degree rotation returns the figure to its original position.

Front

How do you find the image of a point reflected over the line x = k?

Back

To find the image of a point (x, y) reflected over the line x = k, use the formula (2k - x, y).

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.