Translations & Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a certain distance in a specified direction.

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

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

Back

To reflect a point (x, y) across the y-axis, the new point will be (-x, y).

Front

What is the result of reflecting the point (1, 4) across the x-axis?

Back

The result is (1, -4).

Front

What is the result of reflecting the point (-1, -4) across the y-axis?

Back

The result is (1, -4).

Front

What does it mean to translate a shape 3 units to the right?

Back

It means to move every point of the shape 3 units in the positive x-direction.

Front

What does it mean to translate a shape 5 units up?

Back

It means to move every point of the shape 5 units in the positive y-direction.

Front

If a shape is translated 2 units left and 4 units up, what is the new position of the point (3, 2)?

Back

The new position will be (1, 6).

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.

Front

How do you determine if a shape is reflected across 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 across the x-axis; if the x-coordinates change signs, it's across the y-axis.