Translations & Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you perform a translation of a point?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in (x + a, y + b).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected, such as the x-axis or y-axis.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.

Front

What are transformations in geometry?

Back

Transformations are operations that alter the position, size, or shape of a figure, including translations, reflections, and rotations.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

How do you identify a reflection across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new point becomes (-x, y).

Front

How do you identify a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point becomes (x, -y).

Front

What is the result of translating the point (1, 2) by (-3, -5)?

Back

The new point after translation is (-2, -3).