Translations and Reflections Review

Front

What happens to the coordinates of a point when you translate it?

Back

You add or subtract a number to the x and y coordinates.

Front

What is the name of the transformation that flips a figure over a line?

Back

Reflection.

Front

What is a key characteristic of reflections in geometry?

Back

Reflections preserve the distance and shape but do not preserve orientation.

Front

How do you identify a translation from one point to another?

Back

By determining the change in x and y coordinates.

Front

What is the translation rule for moving a point 3 units up and 2 units to the right?

Back

(x, y) → (x + 2, y + 3).

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

Back

The new coordinates will be (-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 is the transformation rule for translating a point (x, y) 5 units left and 2 units down?

Back

(x, y) → (x - 5, y - 2).

Front

What does it mean for a transformation to preserve orientation?

Back

It means that the order of points and their arrangement remains the same after the transformation.