Translations and 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 given direction.

Front

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

Back

Reflecting a figure over the x-axis means that each point of the figure is mirrored across the x-axis, changing the y-coordinate to its opposite.

Front

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

Back

Reflecting a figure over the y-axis means that each point of the figure is mirrored across the y-axis, changing the x-coordinate to its opposite.

Front

How do you translate a figure 3 units left and 5 units down algebraically?

Back

The algebraic representation is (x-3, y-5).

Front

What coordinate is affected when moving a figure up or down?

Back

The y-coordinate is affected when moving a figure up or down.

Front

What coordinate is affected when moving a figure left or right?

Back

The x-coordinate is affected when moving a figure left or right.

Front

What is the algebraic representation for reflecting a figure over the x-axis?

Back

(x, y) --> (x, -y).

Front

What is the algebraic representation for reflecting a figure over the y-axis?

Back

(x, y) --> (-x, y).

Front

If a point (a, b) is reflected over the x-axis, what are the coordinates of the new point?

Back

The new coordinates will be (a, -b).

Front

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

Back

The new coordinates will be (-a, b).