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 every point of a figure the same distance in the same direction.

Front

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

Back

Reflecting a figure over the y-axis means that each point of the figure is moved to a position that is equidistant from the y-axis but on the opposite side.

Front

What is the result of a sequence of transformations?

Back

The result of a sequence of transformations is the final position and orientation of the figure after all transformations have been applied.

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 'reflection followed by translation'.

Front

What is the effect of translating a figure left and down?

Back

Translating a figure left and down moves every point of the figure to the left and downward by a specified distance.

Front

What is the difference between a reflection and a translation?

Back

A reflection creates a mirror image of a figure, while a translation moves the figure without changing its shape or orientation.

Front

What is the significance of the order of transformations?

Back

The order of transformations is significant because it can affect the final position and orientation of the figure.

Front

Can a single transformation result in the same final position as a sequence of transformations?

Back

Yes, sometimes a single transformation can achieve the same final position as a sequence of transformations, depending on the transformations involved.

Front

What is the effect of reflecting a figure over the x-axis?

Back

Reflecting a figure over the x-axis flips the figure vertically, changing the sign of the y-coordinates of its points.