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 reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, you change the sign of the y-coordinate, resulting in (x, -y).

Front

What is the result of reflecting the point (6, -3) over the x-axis?

Back

(6, 3) is the result of reflecting (6, -3) over the x-axis.

Front

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

Back

To reflect a point (x, y) over the y-axis, you change the sign of the x-coordinate, resulting in (-x, y).

Front

What is the result of reflecting the point (2, -4) over the y-axis?

Back

(-2, -4) is the result of reflecting (2, -4) over the y-axis.

Front

What does it mean to translate a point?

Back

Translating a point means moving it to a new location by adding specific values to its coordinates.

Front

If you translate the point (2, -5) 3 units to the right and 6 units up, what is the new point?

Back

The new point is (5, 1).

Front

What is the result of translating the point (1, 4) 2 units to the left and 3 units down?

Back

The new point is (-1, 1).

Front

How do you determine the translation vector?

Back

The translation vector is determined by the changes in the x and y coordinates, expressed as (change in x, change in y).

Front

What is the translation vector for moving a point 2 units right and 5 units down?

Back

The translation vector is (2, -5).