Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

Define translation in geometric 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 geometric transformations.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape by a scale factor, either enlarging or reducing it.

Front

What does it mean for a transformation to preserve orientation?

Back

A transformation preserves orientation if the order of points in the shape remains the same after the transformation.

Front

Which transformations preserve orientation?

Back

Translation and dilation preserve orientation.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the shape.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the shape.

Front

Describe a 90° clockwise rotation.

Back

A 90° clockwise rotation turns a shape 90 degrees to the right around a fixed point.