Reflections and Translations Review

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 happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one position to another without changing its shape or orientation.

Front

How do you write a translation rule?

Back

A translation rule is written as (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

If point K(1, 4) is reflected across the x-axis, what are the new coordinates K'?

Back

K' is (1, -4).

Front

If point S(3, 7) is reflected across the y-axis, what are the new coordinates S'?

Back

S' is (-3, 7).

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Front

If a figure is translated according to the rule (x - 2, y + 1), what is the new position of point P(3, 4)?

Back

The new position of P is (1, 5).