Flashcard 11

Front

Apply the transformation rule (x,y) → (y,-x) to the point (-5,6). What is the new coordinate?

Back

(6,5)

Front

What is the translation rule for moving a point 2 units to the right and 1 unit down?

Back

(x + 2, y - 1)

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept is the value of y when x is 0, often representing a starting point or initial value.

Front

If you rotate a point 180° about the origin, how do the coordinates change?

Back

The coordinates (x,y) become (-x,-y).

Front

What is the effect of rotating a shape 90 degrees counterclockwise?

Back

The coordinates (x,y) become (-y,x).

Front

What is a reflection over the x-axis?

Back

A reflection over the x-axis changes the sign of the y-coordinate: (x,y) becomes (x,-y).

Front

What is a reflection over the y-axis?

Back

A reflection over the y-axis changes the sign of the x-coordinate: (x,y) becomes (-x,y).

Front

How do you describe a translation in geometry?

Back

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

Front

What is the formula for a 90-degree clockwise rotation about the origin?

Back

The coordinates (x,y) become (y,-x).

Front

What does it mean to rotate a shape 270 degrees counterclockwise?

Back

It is equivalent to rotating 90 degrees clockwise; the coordinates (x,y) become (-y,x).