Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

What does it mean for a transformation to be rigid?

Back

A rigid transformation is one that preserves the shape and size of a figure, meaning the figure does not change in any way.

Front

What is the effect of a reflection across the x-axis?

Back

A reflection across the x-axis flips the figure over the x-axis, changing the sign of the y-coordinates of the points.

Front

How does a translation affect the coordinates of a point?

Back

A translation affects the coordinates of a point by adding or subtracting values from the x and/or y coordinates.

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around a point, resulting in a figure that is upside down.