Transformations 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 that moves a point 5 units to the right?

Back

The algebraic rule is (x, y) → (x + 5, y).

Front

What happens to the y-coordinate during a reflection over the x-axis?

Back

The y-coordinate changes sign.

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result is (3, -4).

Front

What does the transformation (x, y) → (x + 2, y - 3) represent?

Back

It represents a slide right 2 units and down 3 units.

Front

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

Back

The point becomes (-x, -y).

Front

What are the coordinates of point A(-2, 2) after a 180-degree rotation?

Back

The coordinates become A'(2, -2).

Front

What is the algebraic expression for a transformation that moves a point 2 units left and 9 units up?

Back

The expression is (x - 2, y + 9).

Front

What is the result of the transformation (x, y) → (x - 5, y + 5)?

Back

The point moves 5 units left and 5 units up.

Front

What is a reflection in geometry?

Back

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