Explore Reflections, Rotations, and Translations

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 are the coordinates of a point after a reflection in the y-axis?

Back

If the original point is (x, y), the reflected point is (-x, y).

Front

Define rotation in geometry.

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What happens to the coordinates of a point after a 90° clockwise rotation about the origin?

Back

If the original point is (x, y), the new coordinates will be (y, -x).

Front

What is a translation in geometry?

Back

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

Front

How do you express a translation of a point (x, y) by 5 units right and 3 units up?

Back

The new coordinates will be (x+5, y+3).

Front

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

Back

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

Front

What is the difference between a rotation and a reflection?

Back

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

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

If the original point is (x, y), the new coordinates will be (-x, -y).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.