PRACTICE QUIZ: 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.8.G.A.3

CCSS.HSG.CO.A.5

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

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 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.8.G.A.3

What is the sequence of transformations for the image given?

• 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)

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.

Tags

CCSS.8.G.A.3

What is the rule for a 180 degree rotation?

• (-y, -x)

• (y, -x)

• (-x, -y)

• (-y, x)

Answer explanation

A 180 degree rotation moves a figure around two whole quadrants (half a circle across the coordinate plane).
This results in the signs of both the x and y value being "flipped" (opposite) from what it started as.
$\left(x,y\right)\longrightarrow\left(-x,-y\right)$

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5