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) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

What is the reflection of point X(9, -2) over the x-axis?

Back

The reflection is (9, 2).

Front

What is the algebraic representation of translating a figure 4 units down?

Back

(x, y - 4).

Front

What does the line of reflection mean in geometry?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, -y).

Front

If a point is translated 6 units to the right, what is the new x-coordinate?

Back

The new x-coordinate is x + 6.

Front

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

Back

The y-coordinate changes sign: (x, y) becomes (x, -y).

Front

What is the effect of translating a point (x, y) by (0, 0)?

Back

The point remains unchanged: (x, y) stays (x, y).

Front

How do you determine the coordinates of a point after a translation?

Back

Add the translation values to the original coordinates.