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

How do you represent a translation of a point (x, y) 3 units left and 5 units down?

Back

(x-3, y-5)

Front

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

Back

The y-coordinate changes sign.

Front

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

Back

The x-coordinate changes sign.

Front

If point A(2, 3) is reflected over the x-axis, what are the coordinates of the reflected point?

Back

(2, -3)

Front

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

Back

(4, 5)

Front

What is the line of reflection for a reflection over the x-axis?

Back

The line of reflection is the x-axis.

Front

What is the line of reflection for a reflection over the y-axis?

Back

The line of reflection is the y-axis.

Front

How do you reflect a point (x, y) over the line y = 1?

Back

The reflected point is (x, 2 - y).

Front

What is the algebraic representation of reflecting a point (x, y) over the line x = 1?

Back

The reflected point is (2 - x, y).