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 over the y-axis?

Back

Reflecting over the y-axis means that each point (x, y) of a figure is transformed to (-x, y).

Front

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

Back

Reflecting over the x-axis means that each point (x, y) of a figure is transformed to (x, -y).

Front

How do you perform a translation of a figure?

Back

To perform a translation, you add or subtract values from the x and/or y coordinates of each point in the figure.

Front

What is the result of translating a point (3, 4) left 2 units and down 1 unit?

Back

The new coordinates will be (1, 3).

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied to a figure.

Front

What transformation takes a point A to A' if A' is the reflection of A over the y-axis?

Back

The transformation is a reflection over the y-axis.

Front

What transformation takes a triangle ABC to A'B'C' if A'B'C' is translated left and down?

Back

The transformation is a translation left and down.

Front

What is the effect of reflecting a figure over the x-axis followed by a translation down?

Back

The figure will first be flipped over the x-axis and then moved down by a specified distance.