Translations, Reflections and Rotations

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 translate a shape 2 units right and 4 units down?

Back

Add 2 to the x-coordinate and subtract 4 from the y-coordinate of each point of the shape.

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 happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

What is the result of reflecting the point (3, 5) over the x-axis?

Back

The result is (3, -5).

Front

What is a rotation in geometry?

Back

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

Front

What is the image of the point (1, 2) after a 90-degree rotation counterclockwise around the origin?

Back

The image is (-2, 1).

Front

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

Back

The image of the point will be (-x, -y).

Front

How do you perform a reflection over the line y = x?

Back

Swap the x-coordinate and y-coordinate of each point.

Front

What is the result of translating the point (4, 3) 3 units left and 2 units up?

Back

The result is (1, 5).