Test Review: Transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of the points.

Front

What is the definition of 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 the result of a dilation with a scale factor of 2 on the point (3, 4)?

Back

The result is the point (6, 8), as both coordinates are multiplied by 2.

Front

What type of transformation 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 the line of reflection for a shape reflected across the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) is transformed to (-x, y).

Front

How do you identify a translation on a graph?

Back

A translation can be identified by observing that all points of the figure move the same distance in the same direction.

Front

What happens to the coordinates of a point (x, y) under a reflection across the line y = 1?

Back

The new coordinates will be (x, 2 - y), reflecting the point vertically across the line y = 1.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

If point B(2, 3) is translated 4 units to the right and 2 units up, what are the new coordinates?

Back

The new coordinates are (6, 5).