Reflections + 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 the line of reflection for the point B(-2, -4) to become (-4, -2)?

Back

The line of reflection is y = x.

Front

How do you reflect a point across the x-axis?

Back

Change the sign of the y-coordinate. For example, (x, y) becomes (x, -y).

Front

What is the result of reflecting the point I(-2, 6) across the x-axis?

Back

The reflected point I' is (2, 6).

Front

What does it mean to translate a figure in geometry?

Back

To move a figure from one position to another without changing its shape or orientation.

Front

What is the algebraic representation of translating a point 3 units left and 5 units down?

Back

(x-3, y-5).

Front

How do you determine the translation from Point A(3, -8) to A'(-4, -5)?

Back

The translation is (x-7, y+3).

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the formula for reflecting a point across the y-axis?

Back

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