Unit 4 honors test - Transformations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto another figure, changing its position, size, or shape.

Front

What is a dilation?

Back

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

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

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

How do you perform a dilation on a point?

Back

To dilate a point, multiply its coordinates by the scale factor.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

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

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 does it mean for a transformation to carry a figure onto itself?

Back

It means that the transformation results in an image that is congruent to the original figure, such as certain reflections or rotations.

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

The effect is to change the coordinates to (-x, y).