Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

What is the arrow notation for a translation that moves a shape 6 units right and 5 units up?

Back

(x, y) --> (x + 6, y + 5)

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

What is the arrow notation for a translation that moves a shape 3 units left and 1 unit down?

Back

(x, y) --> (x - 3, y - 1)

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, creating a mirror image.

Front

What is the result of reflecting the point (4, 5) over the y-axis?

Back

The reflected point is (-4, 5).

Front

What does the term 'pre-image' refer to in transformations?

Back

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

Front

What is the result of reflecting the point (-2, 3) over the x-axis?

Back

The reflected point is (-2, -3).

Front

What is the arrow notation for a translation that moves a shape 8 units up and 6 units left?

Back

(x, y) --> (x - 6, y + 8)

Front

What is a reflection in geometry?

Back

A reflection is a transformation that creates a mirror image of a shape over a line.