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 represent a translation algebraically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

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

Back

Reflecting a figure over the x-axis means that for every point (x, y) in the figure, the new point will be (x, -y).

Front

What is the effect of reflecting a figure over the y-axis?

Back

Reflecting a figure over the y-axis changes the x-coordinate of each point to its opposite, resulting in (x, y) becoming (-x, y).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

How do you translate a point 5 units down and 3 units to the right?

Back

To translate a point (x, y) 5 units down and 3 units to the right, you would use the rule (x + 3, y - 5).

Front

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

Back

The algebraic representation for reflecting over the y-axis is (x, y) --> (-x, y).

Front

If a point is translated from (2, 3) to (7, -2), what is the translation rule?

Back

The translation rule is (x + 5, y - 5).

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the result of reflecting the point (4, 5) over the x-axis?

Back

The result is the point (4, -5).