Transformations Flashcard

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 called the image.

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 reflection in geometry?

Back

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

Front

How does reflecting a point across the x-axis affect its coordinates?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is a rotation in geometry?

Back

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

Front

What is a translation in geometry?

Back

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

Front

What is a dilation in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is dilated with a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.