Chapter 4 Review: Transformations

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

Write the rule for the translation that moves a point 2 units to the right and 1 unit down.

Back

(x + 2, y - 1)

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If the scale factor is 3/2, what does it mean for the size of the figure?

Back

It means the new figure is 1.5 times larger than the original figure.

Front

How do you reflect a point over the line y = -x?

Back

To reflect a point (a, b) over the line y = -x, switch the coordinates and change their signs: (b, a) becomes (-b, -a).

Front

Reflect the point D (-9, -12) over the line y = -x. What is the new point?

Back

(12, 9)

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while the ratios of their corresponding sides are equal.

Front

Are two trapezoids with different side lengths similar? Why or why not?

Back

No, they are not similar because the ratios of the corresponding sides are not equal.

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 is the effect of a 90-degree rotation around the origin on the point (x, y)?

Back

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