Transformations Review

Front

What is a dilation in geometry?

Back

A transformation that produces a figure similar to the original but with a different size, defined by a scale factor.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the image and the distance from the center of dilation to the corresponding point on the original figure.

Front

What are rigid transformations?

Back

Transformations that preserve the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the result of reflecting the point (3, 4) over the y-axis?

Back

(-3, 4)

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

(-2, -5)

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the result of rotating the point (1, 0) 90 degrees counterclockwise around the origin?

Back

(0, 1)

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in the same direction.

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

(6, 12)