Reflections and Translations Review

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 point reflected over the y-axis?

Back

The line of reflection is the y-axis itself.

Front

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

Back

The reflected point is (-x, y).

Front

What is the result of reflecting the point (2, -4) over the y-axis?

Back

The result is (-2, -4).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure a certain distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the left?

Back

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

Front

How do you translate a point (x, y) 9 units down?

Back

The new point will be (x, y - 9).

Front

If point X is at (1, 1) and is translated 3 units left and 2 units up, what is the new position?

Back

The new position is (-2, 3).

Front

What does it mean to translate a figure down 9 and right 4?

Back

It means to move every point of the figure 9 units down and 4 units to the right.

Front

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

Back

The y-coordinates of the points of the figure change sign.