Reflections and translations

Front

What is a reflection in geometry?

Back

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

Front

What is a translation in geometry?

Back

A transformation that slides a figure from one position to another without changing its shape or orientation.

Front

What is the preimage in a transformation?

Back

The graph of an object before a transformation.

Front

How do you represent a translation algebraically?

Back

By adjusting the coordinates of the figure. For example, translating 3 units left and 5 units down is represented as (x-3, y-5).

Front

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

Back

The coordinates become (-x, y).

Front

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

Back

The coordinates become (x, -y).

Front

What is the effect of a translation on a geometric figure?

Back

It slides the figure to a new location without altering its shape or size.

Front

If a figure is translated 4 units right and 2 units up, what is the algebraic representation?

Back

(x+4, y+2).

Front

What is the line of reflection?

Back

The line over which a figure is reflected, creating a mirror image.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a fixed point.