Translations, Rotations, Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of 5 units to the right?

Back

(x, y) → (x + 5, y)

Front

What is the original figure before a transformation called?

Back

Pre-image

Front

What is the result of a transformation called?

Back

Image

Front

How do you translate a point 8 units down and 5 units to the right?

Back

If the point is (x, y), the new point will be (x + 5, y - 8).

Front

What is a reflection in geometry?

Back

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

Front

What is the result of reflecting the point (-3, -6) about the y-axis?

Back

(3, -6)

Front

What is a rotation in geometry?

Back

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

Front

What are the coordinates of a point after a 180° rotation about the origin?

Back

If the original point is (x, y), the new point will be (-x, -y).

Front

How do you reflect a point across the x-axis?

Back

If the point is (x, y), the reflected point will be (x, -y).