translations, reflections, and rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions, respectively.

Front

What happens to the x-coordinate when translating left or right?

Back

The x-coordinate is affected; it increases when moving right and decreases when moving left.

Front

What happens to the y-coordinate when translating up or down?

Back

The y-coordinate is affected; it increases when moving up and decreases when moving down.

Front

What is the algebraic rule for translating a point 3 units right and 2 units down?

Back

The algebraic rule is (x, y) --> (x + 3, y - 2).

Front

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

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

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

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).

Front

What is the algebraic rule for a 90-degree clockwise rotation around the origin?

Back

The algebraic rule is (x, y) --> (y, -x).