Sequencing Translations and Reflections

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 translation in geometry?

Back

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

Front

What does it mean to reflect over the x-axis?

Back

Reflecting over the x-axis means that each point of the figure is flipped across the x-axis, changing the sign of the y-coordinate.

Front

What does it mean to reflect over the y-axis?

Back

Reflecting over the y-axis means that each point of the figure is flipped across the y-axis, changing the sign of the x-coordinate.

Front

What is the result of a translation followed by a reflection?

Back

The result is a new position of the figure that combines both the movement from the translation and the flip from the reflection.

Front

What is the result of a reflection followed by a translation?

Back

The result is a new position of the figure that first flips over a line and then moves to a new location.

Front

How do you describe a sequence of transformations?

Back

A sequence of transformations is described by listing the transformations in the order they are applied, such as 'translation followed by reflection'.

Front

What is the effect of two consecutive reflections over the same line?

Back

Two consecutive reflections over the same line result in the original figure being unchanged.

Front

What is the effect of two consecutive reflections over different lines?

Back

Two consecutive reflections over different lines result in a rotation of the figure around the point where the lines intersect.

Front

If a figure is reflected over the y-axis, what happens to its coordinates?

Back

The x-coordinates of the points change sign, while the y-coordinates remain the same.