Sequence of Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define translation in the context of transformations.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a rotation in geometry?

Back

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

Front

Explain reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is the difference between a rotation and a reflection?

Back

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

Front

What does it mean to perform a sequence of transformations?

Back

A sequence of transformations refers to applying multiple transformations one after the other to achieve a final position or orientation of a shape.

Front

How does the order of transformations affect the final image?

Back

The order of transformations can significantly change the final image; different sequences can lead to different results.

Front

What is the effect of a 180° rotation on a shape?

Back

A 180° rotation turns a shape upside down, effectively reversing its orientation.

Front

What happens when you reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates of its points.

Front

What is the result of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis flips it horizontally, changing the sign of the x-coordinates of its points.