Translations and Reflections Practice Flashcard

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

How do you perform a translation of a point?

Back

To translate a point, you add the translation vector's x-component to the point's x-coordinate and the y-component to the point's y-coordinate.

Front

What is the result of translating the point (4, -1) by 3 units left and 3 units up?

Back

The new location is (1, 2).

Front

What is a reflection in geometry?

Back

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

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the new location of the point (4, 2) when reflected over the x-axis?

Back

The new location is (4, -2).

Front

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

Back

Reflecting a shape over the y-axis means that the x-coordinates of the points change sign, while the y-coordinates remain the same.

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 a shape over a line, changing its orientation.

Front

What does the term 'flip' refer to in geometry?

Back

In geometry, a 'flip' refers to a reflection.

Front

How can you determine if a shape is being reflected over the x-axis or y-axis?

Back

You can determine the axis of reflection by observing the changes in the coordinates of the points before and after the transformation.