Translations and Reflection Review (Transformational Geometry)

Front

What is a translation in geometry?

Back

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

Front

What does it mean to reflect a figure over the y-axis?

Back

To flip the figure over the y-axis, changing the sign of the x-coordinates of the points.

Front

What is the effect of a reflection over the x-axis on the coordinates of a point (x, y)?

Back

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

Front

What is the algebraic representation of a reflection over the y-axis?

Back

(x, y) → (-x, y).

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line.

Front

What does it mean for a transformation to preserve orientation?

Back

It means that the order of points and the overall direction of the figure remain unchanged.

Front

Write the rule for a translation that moves a point 3 units left and 2 units up.

Back

(x, y) → (x - 3, y + 2).

Front

What happens to the y-coordinate of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign.

Front

What is the algebraic representation of a translation that moves a point 2 units right and 1 unit down?

Back

(x, y) → (x + 2, y - 1).

Front

If a point (4, 5) is reflected over the y-axis, what are the new coordinates?

Back

(-4, 5).