Transformations Review #2: Basic

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the distances between points remain unchanged. Examples include translations, rotations, and reflections.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It involves expanding or contracting the figure from a center point.

Front

What transformation is represented by the rule (x, y) -> (-x, -y)?

Back

This transformation represents a rotation of 180 degrees around the origin.

Front

What transformation is represented by the rule (x, y) -> (x, -y)?

Back

This transformation represents a reflection over the x-axis.

Front

Is the transformation (x, y) -> (-x, -y) a reflection over the y = x axis?

Back

No, this transformation is a rotation of 180 degrees, not a reflection over the y = x axis.

Front

What is the result of translating the point C(-6, 2) using the rule (x, y) -> (x + 3, y - 1)?

Back

The result is C' (-3, 1).

Front

What is the result of translating the point B(-1, -1) using the rule (x, y) -> (x + 3, y - 1)?

Back

The result is B' (2, -2).

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What is the effect of a translation on a geometric figure?

Back

A translation moves every point of a figure the same distance in a specified direction without changing its shape or orientation.

Front

What is the formula for reflecting a point (x, y) over the y-axis?

Back

The formula is (x, y) -> (-x, y).