Transformations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you write a rule for a translation?

Back

A translation rule is written in the form (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The line of reflection is the x-axis itself, where each point (x, y) is transformed to (x, -y).

Front

What do we call the new figure after a transformation?

Back

The new figure is called the image.

Front

If a point K(1, 3) is reflected across the x-axis, what are the coordinates of K'?

Back

K' would be (1, -3).

Front

What is the effect of reflecting a figure across the y-axis?

Back

Reflecting a figure across the y-axis changes the coordinates of each point (x, y) to (-x, y).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.

Front

What is the transformation that rotates a figure around a point called?

Back

This transformation is called rotation.

Front

How do you determine the center of rotation for a figure?

Back

The center of rotation is the fixed point around which the figure rotates.