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 happens to the x-coordinates during a translation?

Back

The x-coordinates are adjusted by adding or subtracting a constant value.

Front

What is the effect of translating a figure 3 units left and 5 units down?

Back

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

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

What is the line of reflection for a point (x, y) over the x-axis?

Back

The line of reflection is the x-axis, and the reflected point will be (x, -y).

Front

How do you find the reflection of a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

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

Back

The reflection is (9, 2).

Front

What is the rule for reflecting a point over the line y = 1?

Back

To reflect a point (x, y) over the line y = 1, the new point will be (x, 2 - y).

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.