Translations, Reflections, & Rotations Review.

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 mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to reflect a figure?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected.

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

How do you determine the angle of rotation?

Back

The angle of rotation is the degree measure of the turn from the original position to the new position.

Front

What is a pre-image?

Back

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

Front

What is an image in geometry?

Back

An image is the result of a transformation applied to a pre-image.

Front

If a point (x, y) is translated 3 units right and 2 units down, what is the new position?

Back

The new position is (x + 3, y - 2).

Front

What is the result of reflecting a point (4, 5) over the y-axis?

Back

The result is (-4, 5).