Rigid Transformations Practice Flashcard

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

The rule is (x + 2, y - 1).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The coordinates change to (x, -y).

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The new coordinates will be (-x, -y).

Front

Define the term 'pre-image' in the context of transformations.

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the difference between a pre-image and an image?

Back

The pre-image is the original figure, while the image is the figure after a transformation.

Front

What is the rule for reflecting a point (a, b) over the y-axis?

Back

The rule is (a, b) → (-a, b).

Front

If a point (x, y) is translated 3 units left and 4 units up, what is the new point?

Back

The new point is (x - 3, y + 4).

Front

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

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on the point (x, y)?

Back

The new coordinates will be (-y, x).