Translations, Rotations, Reflections, and Dilations.

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point across the x-axis?

Back

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

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The coordinates of a point (x, y) become (-x, y) when reflected across the y-axis.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the effect of translating a figure 5 units down and 3 units to the right?

Back

Each point (x, y) of the figure will move to (x + 3, y - 5).

Front

What is a rotation in geometry?

Back

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

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is measured in degrees and indicates how far the figure is turned around the center of rotation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 2?

Back

The new coordinates will be (2, 4), (6, 8), and (10, 12).

Front

What is the difference between a rotation and a reflection?

Back

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