Transformations: Reflections and Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape or object a fixed distance in a specified direction.

Front

How do you translate a point (x, y) 6 units up and 3 units to the right?

Back

The new coordinates will be (x + 3, y + 6).

Front

What are the coordinates of Point T(2, 5) after translating it 6 units up and 3 units to the right?

Back

(5, 11)

Front

What is a reflection in geometry?

Back

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

Front

What are the coordinates of A(-3, 4) after reflecting over the x-axis?

Back

(-3, -4)

Front

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

Back

The y-coordinate changes sign.

Front

What does the algebraic representation (x, y) -> (x, -y) indicate?

Back

It indicates a reflection over the x-axis.

Front

What are the coordinates of Point M(-3, 5) after applying the translation rule (x, y) -> (x - 1, y)?

Back

(-4, 5)

Front

What is the effect of translating a point left by 2 units?

Back

The x-coordinate decreases by 2.

Front

What is the effect of translating a point down by 4 units?

Back

The y-coordinate decreases by 4.