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 specified direction.

Front

How do you translate a point (x, y) 6 units down and 3 units left?

Back

(x, y) --> (x - 3, y - 6)

Front

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

Back

The y-coordinate is affected.

Front

What is the algebraic notation for translating a figure 9 units right and 3 units down?

Back

(x, y) --> (x + 9, y - 3)

Front

What is a reflection in geometry?

Back

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

Front

If a figure is reflected over the y-axis, how are the coordinates affected?

Back

The x-coordinates change sign: (x, y) --> (-x, y).

Front

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

Back

The y-coordinates change sign: (x, y) --> (x, -y).

Front

What is the effect of translating a figure 6 units right and 5 units up?

Back

(x, y) --> (x + 6, y + 5)

Front

How do you describe the translation of Quadrilateral EFGH to E'F'G'H'?

Back

6 down, 3 left.

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips it over a line.