Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape. It can be an enlargement or a reduction.

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. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you find the scale factor when dilating a point?

Back

To find the scale factor, divide the distance from the center of dilation to the image point by the distance from the center of dilation to the original point.

Front

What does it mean to translate a figure?

Back

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

Front

What are the coordinates of a point after a translation of right 2 and up 3 from (4, 5)?

Back

The new coordinates will be (4+2, 5+3) = (6, 8).

Front

What is a rotation in geometry?

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 effect of a 180-degree rotation on a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).

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 the line of reflection for the point (3, 4) reflected over the y-axis?

Back

The line of reflection is the y-axis, and the reflected point will be (-3, 4).