Transformation

Front

What are the coordinates of a point after a 90° counterclockwise rotation around the origin?

Back

If a point P(x, y) is rotated 90° counterclockwise around the origin, the new coordinates P' will be (-y, x).

Front

How do you determine the scale factor between two points?

Back

The scale factor can be determined by dividing the distance from the origin to the new point by the distance from the origin to the original point.

Front

What is the translation rule for moving a point (x, y) 4 units to the right and 6 units down?

Back

The translation rule is (x, y) ⟶ (x + 4, y - 6).

Front

What are the coordinates of a point after a 180° rotation around the origin?

Back

If a point P(x, y) is rotated 180° around the origin, the new coordinates P' will be (-x, -y).

Front

What is the relationship between the angles of a shape before and after a translation?

Back

The angle measures of a shape remain equal to the corresponding angle measures after a translation.

Front

What is the effect of a dilation on the coordinates of a point?

Back

A dilation with a scale factor k transforms a point P(x, y) to P'(kx, ky).

Front

How do you find the new coordinates of a point after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates.

Front

What is the definition of a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips a shape over a line.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point P(x, y) over the x-axis, the new coordinates will be P' (x, -y).