Reflections and Translations

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 a translation in geometry?

Back

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

Front

What does the rule (x-6, y+8) indicate?

Back

This rule indicates that to find the image of a point, you subtract 6 from the x-coordinate and add 8 to the y-coordinate.

Front

If the image point is (-4, 1) and the transformation rule is (x-6, y+8), what is the pre-image point?

Back

The pre-image point is (2, -7).

Front

Which triangle is a translation of triangle X?

Back

Triangle B is a translation of triangle X.

Front

What happens to a figure when it is reflected across the y-axis?

Back

The x-coordinates of the points of the figure change sign, while the y-coordinates remain the same.

Front

What is the result of flipping a figure over a line?

Back

Flipping a figure over a line is called a reflection.

Front

What does a translation do to an image?

Back

A translation slides the image to a new position without altering its shape or size.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a fixed point.

Front

What is the effect of a translation on the coordinates of a point (x, y)?

Back

The new coordinates after translation by (a, b) will be (x+a, y+b).