Dilations and other transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It is defined by a scale factor.

Front

What does the scale factor (SF) indicate in a dilation?

Back

The scale factor indicates how much the figure is enlarged or reduced. An SF greater than 1 indicates enlargement, while an SF less than 1 indicates reduction.

Front

If a triangle is dilated with a scale factor of 1/2, what happens to its size?

Back

The triangle is reduced to half its original size.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a fixed point, while a reflection flips a figure over a line, creating a mirror image.

Front

What type of transformation is represented by the equation (x, y) → (x + 3, y - 2)?

Back

This represents a translation, which shifts the figure by a certain distance in a specified direction.

Front

What is the scale factor if a figure is enlarged from a size of 4 to a size of 10?

Back

The scale factor is 10/4 = 2.5.

Front

How can you identify a reflection in a coordinate plane?

Back

A reflection can be identified by checking if the coordinates of points are symmetrical with respect to a line, such as the x-axis or y-axis.

Front

What happens to the coordinates of a point (x, y) during a dilation with a scale factor of 3?

Back

The new coordinates will be (3x, 3y).

Front

If a figure is transformed using a scale factor of 0.5, what type of transformation is it?

Back

It is a reduction.

Front

What is the result of a rotation of 90 degrees counterclockwise around the origin for the point (1, 0)?

Back

The new coordinates will be (0, 1).