5A,5B,5C Practice (Rigid Transformations)

Front

Translations, rotations, and reflections are three different types of what?

Back

Transformations

Answer explanation

They are all types of transformations because they transform a figure (position and orientation) on a coordinate plane.

Front

After a figure has been transformed, we call the new figure the...

Back

Image

Answer explanation

A figure is called an image after being transformed, because it is the current version (image) of the figure on a graph.

Front

The original figure before a transformation.

Back

Pre-image

Answer explanation

The original figure is called the preimage because it is the image before a transformation (pre-transformation).

Front

"Sliding" a figure is a _________.

Back

Translation

Answer explanation

Sliding a figure is a translation, because the figure "slides" on the graph without changing the orientation of the figure.

Front

This transformation takes the geometric figure and "flips" it over a line.

Back

reflection

Answer explanation

"Flipping" a figure over the line results in a reflected version of the figure. This is why we call it a reflection.

Front

The mathematical term for the line that you reflect a shape over is the...

Back

Line of reflection

Answer explanation

The line that a figure is reflected over is called the line of reflection.

Front

A transformation that “turns” a figure, which one is it?

Back

rotation

Answer explanation

When a figure is turned, this type of movement is called a rotation.

Front

Which type of rotation will not change the orientation of an object? Options: 90^o rotation, 180^o rotation, 270^o rotation, 360^o rotation

Back

360^o rotation

Answer explanation

360 degree rotation does not change the orientation because it is a full rotation and will result in the figure being back where it started.

All other rotations result in the figure changing orientation.

Front

What transformation is happening from ABCD to A'B'C'D'?

Back

Translation

Answer explanation

The orientation of the figure was not changed. We know this because of how the figures are labeled.

Front

What is the sequence of transformations for the image given? Options: Reflect over the x-axis, translate (x+8,y); Reflect over the x-axis then translate (x+6, y); Reflect over the y-axis then (x+1, y+1); Translate down 4 (y-4) and to the right 5 (x+5)

Back

Reflect over the x-axis then translate (x+6, y)

Answer explanation

The orientation of the labels indicate that the figure was reflected, not rotated, as they are mirrored from the original preimage.

Then, a translation would result in the figure being positioned where it is shown.