Transformations Practice

Front

What is the rule for dilation?

Back

(x, y) --> (kx, ky) where k is the scale factor.

Front

How do you translate a point (x, y) to a new point (x', y')?

Back

To translate a point, add the translation vector to the original coordinates: (x', y') = (x + a, y + b).

Front

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

Back

The x-coordinate changes sign: (x, y) --> (-x, y).

Front

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

Back

The y-coordinate changes sign: (x, y) --> (x, -y).

Front

What happens to a point when it is dilated by a scale factor of 1/2?

Back

The coordinates of the point are multiplied by 1/2: (x, y) --> (0.5x, 0.5y).

Front

How do you perform a dilation followed by a translation?

Back

First, apply the dilation to the point, then add the translation vector to the resulting coordinates.

Front

What is the result of dilating the point (6, -4) by a scale factor of 1/2?

Back

(3, -2).

Front

If a point (x, y) is transformed to (2x + 1, 2y), what transformations occurred?

Back

A dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit.

Front

What is the definition of a transformation in geometry?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What is a translation in geometry?

Back

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