Rotations and Dilations.

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What is the scale factor in a dilation?

Back

The ratio by which a figure is enlarged or reduced during a dilation.

Front

If point C (3, 2) is dilated by a scale factor of 3, what are the new coordinates?

Back

(9, 6)

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise around the origin?

Back

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

Front

What are the new coordinates of point M (4, -5) after a 270° counterclockwise rotation around the origin?

Back

(-5, -4)

Front

If point A (2, 3) is rotated 180° about the origin, what are the new coordinates?

Back

(-2, -3)

Front

What is the result of rotating a point 360° around the origin?

Back

The point remains in the same position.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

It reduces the size of the figure.

Front

If a figure is dilated by a scale factor of 2, what happens to its area?

Back

The area is multiplied by 4 (2^2).

Front

What are the coordinates of point B (6, 5) after a 90° counterclockwise rotation?

Back

(-5, 6)