Reflections and Translations

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, size, or orientation.

Front

What does a reflection do to an image?

Back

A reflection flips an image over a line, creating a mirror image.

Front

What is the rule for translating a point (x, y) to the right by 5 units and down by 3 units?

Back

The rule is (x + 5, y - 3).

Front

How do you find the pre-image of a point after a translation?

Back

To find the pre-image, you reverse the translation rule applied to the image point.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

If a point (2, 3) is reflected across the x-axis, what is the image point?

Back

The image point is (2, -3).

Front

What is the effect of reflecting a point across the y-axis?

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).

Front

What does it mean to translate a shape 8 units down and 5 units to the right?

Back

It means to move every point of the shape 8 units down and 5 units to the right on the coordinate plane.

Front

How can you describe the translation of trapezoid ABCD to trapezoid A'B'C'D'?

Back

Trapezoid ABCD is translated 8 units down and 5 units to the right to form trapezoid A'B'C'D'.

Front

What is the image of the point (4, -2) after applying the translation rule (x-6, y+8)?

Back

The image point is (-2, 6).