Translations and Reflections Review

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 given direction.

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

Back

The rule is (x, y) → (x, -y).

Front

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

Back

The rule is (x, y) → (-x, y).

Front

What is the rule for reflecting a point (x, y) over the line y = x?

Back

The rule is (x, y) → (y, x).

Front

How do you translate a point (x, y) using the rule (x, y) → (x + a, y + b)?

Back

You add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

If point M (-3, 5) is translated using the rule (x, y) → (x - 1, y), what are the coordinates of M'?

Back

The coordinates of M' are (-4, 5).

Front

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

Back

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

Front

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

Back

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

Front

What is the algebraic notation for reflecting a point over the x-axis?

Back

The algebraic notation is (x, y) → (x, -y).