Translation and Reflections Algebraically

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 4 squares right and 1 square up?

Back

The new coordinates will be (x + 4, y + 1).

Front

If point M (-3, 5) is translated using the rule (x, y) --> (x - 1, y), what are the new coordinates?

Back

The new coordinates are (-4, 5).

Front

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

Back

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

Front

Reflect the point (6, -3) over the x-axis. What are the new coordinates?

Back

The new coordinates are (6, 3).

Front

What is the line of reflection for a reflection over the x-axis?

Back

The line of reflection is the x-axis.

Front

What is the effect of reflecting a point over the x-axis?

Back

The y-coordinate of the point changes sign.

Front

If a point (a, b) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates will be (-a, b).

Front

What is the rule for translating a point 2 squares left and 3 squares down?

Back

The new coordinates will be (x - 2, y - 3).

Front

What is the definition of a reflection in geometry?

Back

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