11/17: Translations and Reflections Practice

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 when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

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. For example, (x, y) becomes (x, -y).

Front

Define pre-image in the context of transformations.

Back

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

Front

What is the image in geometry?

Back

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

Front

If point A(3, 4) is reflected over the y-axis, what are the coordinates of A'?

Back

A'(-3, 4) because the x-coordinate changes sign.

Front

If point B(-2, 5) is reflected over the x-axis, what are the coordinates of B'?

Back

B'(-2, -5) because the y-coordinate changes sign.

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

If point C(1, 2) is translated 3 units to the left and 2 units up, what are the new coordinates?

Back

C'(-2, 4) because you subtract 3 from the x-coordinate and add 2 to the y-coordinate.

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new coordinates are (x + a, y + b).