HW 1.7

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

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where (a, b) is the vector indicating the direction and distance of the translation.

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

The result is (-x, -y).

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

How do you reflect a point (x, y) over the y-axis?

Back

The reflected point is (-x, y).

Front

What is the effect of reflecting a point (x, y) over the x-axis?

Back

The reflected point is (x, -y).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips it over a line.

Front

What does a 90 degrees counterclockwise rotation do to a point (x, y)?

Back

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

Front

What is the transformation from ABCD to A'B'C'D' if the shape moves without changing its orientation?

Back

This transformation is called a translation.

Front

What type of transformation is shown if a figure is flipped over the x-axis?

Back

This is a reflection.