Transformations: Translations, Reflections, Rotations, and Dilations

Front

What is a translation in geometry?

Back

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

Front

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

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

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

Back

A dilation with a scale factor greater than 1 enlarges the figure, making it larger than the original.

Front

What is a congruence transformation?

Back

A congruence transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

How do you rotate a point 90 degrees counterclockwise about the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise, the new coordinates become (-y, x).

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in a plane about which all points are expanded or contracted.

Front

What happens to the coordinates of a point when it is translated by the vector (x-3, y+5)?

Back

The new coordinates of a point (x, y) after translation by the vector (x-3, y+5) become (x-3, y+5).

Front

What is the difference between a dilation and a congruence transformation?

Back

A dilation changes the size of a figure, while a congruence transformation preserves both size and shape.

Front

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

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.