Transformations Practice

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 does it mean to translate a figure?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

How do you perform a reflection across a line?

Back

To perform a reflection, you flip the figure over a line (the line of reflection) so that the distance from each point to the line is the same on both sides.

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, by a certain angle.

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 is the effect of a 180-degree rotation about the origin on a point (x, y)?

Back

The effect of a 180-degree rotation about the origin on a point (x, y) is to transform it to (-x, -y).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other using rotations, reflections, or translations.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning one can be obtained from the other by dilation.

Front

How do you determine the coordinates of a point after a translation?

Back

To determine the coordinates of a point after a translation, you add the translation values to the original coordinates.