LSSAE:12/17 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 given direction.

Front

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

Back

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

Front

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

Back

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

Front

If a point (x, y) is translated 3 units to the right and 2 units up, what is the new position?

Back

The new position is (x + 3, y + 2).

Front

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

Back

The result is (4, -5).

Front

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

Back

The result is (3, 2).

Front

How do you determine the coordinates of a point after a translation?

Back

To determine the coordinates after a translation, add the translation values to the original coordinates.

Front

What is the effect of a translation of (x, y) to (x - 5, y + 4)?

Back

This translation moves the point 5 units to the left and 4 units up.

Front

What is the transformation that occurs when (x, y) is changed to (x, y - 7)?

Back

This transformation translates the point 7 units down.

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.