Geometry Translations and Reflections

Front

What is a translation?

Back

A translation is when you slide an object from one place to another.

Front

What does it mean to reflect an object over the x-axis?

Back

To reflect an object over the x-axis means to flip it across the x-axis, creating a mirror image.

Front

What does it mean to reflect an object over the y-axis?

Back

To reflect an object over the y-axis means to flip it across the y-axis, creating a mirror image.

Front

What is the rule for translating a point (x, y) 2 units to the right?

Back

The rule is (x + 2, y).

Front

What is the rule for translating a point (x, y) 3 units up?

Back

The rule is (x, y + 3).

Front

If a shape is translated 5 units left and 2 units down, what is the rule?

Back

The rule is (x - 5, y - 2).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

The effect is (x, y) becomes (-x, -y).

Front

What is the effect of a 90-degree counterclockwise rotation on a point (x, y)?

Back

The effect is (x, y) becomes (-y, x).

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The effect is (x, y) becomes (y, -x).

Front

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

Back

Check the coordinates of the points before and after the transformation; if the y-coordinates change signs, it's a reflection over the x-axis; if the x-coordinates change signs, it's over the y-axis.