Transformations - 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 translate a point (x, y) 5 units to the left and 2 units up?

Back

To translate the point (x, y), subtract 5 from x and add 2 to y, resulting in the new point (x-5, y+2).

Front

What are the coordinates of point J after translating it from (0, 0) 5 units left and 2 units up?

Back

The new coordinates are (-5, 2).

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

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

Front

What are the coordinates of point C (2, 3) after reflecting it over the y-axis?

Back

The new coordinates are (-2, 3).

Front

How do you reflect a point (x, y) over the x-axis?

Back

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

Front

What are the coordinates of point D (4, -1) after reflecting it over the x-axis?

Back

The new coordinates are (4, 1).

Front

If a shape is reflected over the y-axis, what happens to its x-coordinates?

Back

The x-coordinates of the shape's points change sign.

Front

If a shape is translated 3 units right and 4 units down, how do you find the new coordinates?

Back

Add 3 to the x-coordinate and subtract 4 from the y-coordinate.