Transformation on Reflections and Translations

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

• (x, y) --> (x + 5, y + 8)

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

Tags

CCSS.HSG.CO.A.2

What is the algebraic representation for the transformation shown?

• (x, y) ---> (x - 8, y + 3)

• (x, y) ---> (x - 4, y + 9)

• (x, y) ---> (x + 8, y - 3)

• (x, y) ---> (x + 4, y - 9)

Tags

CCSS.HSG.CO.A.2

Rotations, like translations and reflections, produce congruent figures.

• true

• false

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

We've talked about and practiced 3 out of the 4 transformations. They are:

• dilations, translations, and reflections

• reflections, rotations, and dilations

• translations, reflections, and rotations

• rotations, dilations, and translations

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A car driving down a straight road is an example of a _________.

• rotation

• reflection

• translation

• dilation

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 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

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

"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