Geometry Semester Review

Front

What is the definition of dilation in geometry?

Back

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

Back

Front

What is the transformation rule for a 90º counterclockwise rotation about the origin?

Back

The transformation rule is @@(x,y) ightarrow (-y,x)@@.

Front

Define translation in the coordinate plane.

Back

A translation is a transformation where all points in a figure move in the same direction for the same distance.

Front

What is the effect of a scale factor less than 1 on a geometric figure?

Back

A scale factor less than 1 reduces the size of the figure.

Front

What is the effect of a scale factor greater than 1 on a geometric figure?

Back

A scale factor greater than 1 enlarges the size of the figure.

Front

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

Back

Apply the transformation rule to the original coordinates of the point.

Front

What is the result of reflecting a point across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the result of reflecting a point across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What is the definition of 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 specified angle.