Unit 4 Review Quiz: Compositions of Transformations

Reflect △ABC across the x-axis, then rotate 90° CC about the origin.

List the points as we go through the transformations. The First one is done for you.

A(-2,-6)---Rotate 90° CC--->A' (6,-2)​ ---Reflect across x-axis-->A''​ (a)  

B(6,-6)---Rotate 90° CC--->B'​ (b)   ---Reflect across x-axis-->B''​ (c)  

C(6,-1)---Rotate 90° CC--->C'​ (d)   ---Reflect across x-axis-->C''​ (e)  

• (-6,-2)
• (6,6)
• (6,-6)
• (1,6)
• (-1,6)
• (2,-6)
• (6,2)
• (6,1)
• (1,-6)
• (-6,-1)

Reflect △ABC across the x-axis, then rotate 90° CC about the origin. Graph the points for the final shape. The starting points are: A(-2,-6), B(6,-6), C(6,-1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate △DEF 270° CC about the origin, then translate (x + 5, y – 5).

List the points as we go through the transformations. The First one is done for you.

D(0,-7)---Rotate 270° CC --->D' (-7,0)​ ---Translate (x + 5, y – 5)-->D''​ (a)  

E(-8,-7)---Rotate 270° CC--->E'​ (b)   ---Translate (x + 5, y – 5)-->E''​ (c)  

F(-4,-5)---Rotate 270° CC-->F'​ (d)   ---Translate (x + 5, y – 5)-->F''​ (e)  

• (-2,-5)
• (-7,8)
• (-2,3)
• (-5,4)
• (0,-1)
• (2,-6)
• (6,2)
• (6,1)
• (1,-6)
• (-6,-1)

Rotate △DEF 270° CC about the origin, then translate (x + 5, y – 5). Graph the points at the end of the transformations.

Tags

CCSS.8.G.A.3

<-3,-6>, then reflect across y = x.

List the points as we go through the transformations. The First one is done for you.

G(-3,9)---<-3,-6>--->G' (-6,3)​ ---Reflect across y = x.-->G''​ (a)  

H(-4,6)---<-3,-6>--->H'​ (b)   ---Reflect across y = x.-->H''​ (c)  

I(2,9)---<-3,-6>-->I'​ (d)   ---Reflect across y = x.-->I''​ (e)  

• (3,-6)
• (-7,0)
• (0,-7)
• (-1,3)
• (3,-1)
• (2,-6)
• (6,2)
• (6,1)
• (1,-6)
• (-6,-1)

<-3,-6>, then reflect across y = x.

Graph the points after both transformations.​

Tags

CCSS.8.G.A.3

Select all transformations that maintain angle measure and side length

• Translations

• Rotations

• Dilations

• Reflections

• Symmetry

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y
• translate 5 down and 1 left, then reflect over y
• reflect over y=x then translate left 8
• reflect over x then rotate 90 clockwise

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1
• reflect over y then translate down 6 left 1
• translate right 6 down 1, then reflect over x
• rotate 90 clockwise then reflect over y

Which transformation rules create an image where distance is preserved? (the size/shape doesn't change) Select all that apply.