Unit 5 Test Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the coordinates of a figure during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation has occurred.

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Front

What does the transformation rule (x, y) → (x - 5, y - 10) represent?

Back

This rule represents a translation of a figure 5 units to the left and 10 units down.

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 difference between a translation and a dilation?

Back

A translation moves a figure from one location to another without changing its size or shape, while a dilation changes the size of the figure but keeps its shape.

Front

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

Back

To find the new coordinates after a translation, you add or subtract the translation values from the original coordinates.

Front

What does it mean to reflect a figure over the x-axis?

Back

Reflecting a figure over the x-axis means that for every point (x, y) in the figure, the new point will be (x, -y).

Front

What is the effect of a scale factor of 2 on the coordinates of a point?

Back

A scale factor of 2 doubles the distance of each point from the center of dilation, effectively enlarging the figure.