Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is reflection in geometry?

Back

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

Front

How do you translate a shape?

Back

To translate a shape, you move it a certain distance in a specified direction without changing its orientation.

Front

What does it mean to rotate a shape?

Back

To rotate a shape means to turn it around a fixed point by a certain angle.

Front

What is the line of symmetry?

Back

A line that divides a figure into two mirror-image halves.

Front

If a point (x, y) is reflected over the y-axis, what are the coordinates of the image?

Back

(-x, y) - The x-coordinate changes sign.

Front

What happens to the coordinates of a point (x, y) when it is translated left by 3 units?

Back

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

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

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

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips it over a line.

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure but maintains its shape.