Sequences of Transformations

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of operations that move or change a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a dilation in geometry?

Back

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

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other using rotations, translations, or reflections.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What happens to the angles of a figure during a dilation?

Back

The angles of a figure remain unchanged during a dilation.

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

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, by a certain angle.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one location to another without changing its shape or orientation.

Front

If a shape is dilated by a scale factor of 1/2, what happens to its size?

Back

The shape will be reduced to half its original size.

Front

What is the result of reflecting a shape across the x-axis?

Back

The y-coordinates of the points of the shape are inverted, while the x-coordinates remain the same.