Dilation, Translation and Reflection Practice

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

"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

• B

• C

• D

Tags

CCSS.HSG.CO.A.2

The vertices of a rectangle are E(-2,2), F(-5,2), G(-5,4), H(-2,4). Reflect the figure in the x-axis, then translate the image 6 units right. What are the coordinates of the final rectangle?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• A

• B

• C

• D

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Rotate 90 degrees counterclockwise AND translate down 2 units

• 
• 
• 

Tags

CCSS.HSG.CO.A.2

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

Which represents translating right 4 and down 2?

• (x - 2, y + 4)

• (x - 4, y - 2)

• (x + 4, y + 2)

• (x + 4, y - 2)

Answer explanation

$\left(x,y\right)\longrightarrow\left(x+4,y-2\right)$

Translating right 4 means the x value increases by 4. Translating down 2 results in the y value decreasing by 2.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5