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

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

• Transformations

• Geometry

• Vectors

• Shapes

Answer explanation

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• Image

• Different shape

• Figure that moved

• Prime

Answer explanation

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

Tags

CCSS.HSG.CO.A.2

The original figure before a transformation.

• Pre-image

• Image

Answer explanation

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

Tags

CCSS.HSG.CO.A.2

"Sliding" a figure is a _________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• rotation

• translation

• dilation

• 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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• Mirror

• Reflective tape

• Line that you reflect over

• Line of reflection

Answer explanation

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

Tags

CCSS.HSG.CO.A.2

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

• rotation

• translation

• reflection

• dilation

Answer explanation

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which type of rotation will not change the orientation of an object?

• 90^o rotation

• 180^o rotation

• 270^o rotation

• 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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What two transformations could be happening in this picture? Select all that apply.

• reflection and translation

• rotation and translation

• reflection and rotation

Answer explanation

The figure must be either rotated 180 degrees OR reflected across the y-axis to be oriented the way it is.

Then, a translation would slide the figure into its current position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• Translation

• Reflection

• Reflection

• Rotation

Answer explanation

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

Tags

CCSS.HSG.CO.A.2