Translations and Reflections

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

How do you translate a point in the coordinate plane?

Back

To translate a point, you add the translation values to the x and y coordinates of the point.

Front

What does it mean to reflect a figure over the y-axis?

Back

Reflecting a figure over the y-axis means that each point of the figure is mirrored across the y-axis, changing the sign of the x-coordinate.

Front

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

Back

The result is the point (-x, y).

Front

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

Back

The result is the point (x, -y).

Front

If point A(3,5) is translated 7 units up and 2 units left, what are the new coordinates?

Back

The new coordinates are A'(1,12).

Front

What is the difference between translation and reflection?

Back

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

Front

How do you determine the translation vector for a figure?

Back

The translation vector is determined by the change in x and y coordinates from the original position to the new position.

Front

What is a coordinate pair?

Back

A coordinate pair is a set of values that show the position of a point in a two-dimensional space, typically written as (x, y).

Front

What does it mean to translate a shape 2 units to the right and 5 units down?

Back

It means to add 2 to the x-coordinate and subtract 5 from the y-coordinate of each point of the shape.