Chapter 4 Test

In the diagram, name the vector and select its component form.

• FD, <-4, 3>

• DF <-3, 4>

• DF, <4, -3>

• FD, <3, -4>^

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Write a rule for the translation of  $\Delta$ ABC to  $\Delta$  A'B'C' 

• (x, y)  $\rightarrow$  (x-4, y-2)
  

• (x, y)  $\rightarrow$  (x-2, y-4)

• (x, y)  $\rightarrow$  (x-2, y-2)

• (x, y)  $\rightarrow$  (x-1, y-2)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

An architect is designing a garden for a client on a planning sheet. The client requests the relocation of a water fountain by the rule (x, y)  $\rightarrow$  (x+8, y-9).  Later the client decides they would prefer the water location moved from its new position 4 units left and 6 units down.  Find the new location, if the composition of both translations was written as a single tranformation.  

• (x, y)  $\rightarrow$  (x-6, y-4).

• (x, y)  $\rightarrow$  (x+2, y-13).

• (x, y)  $\rightarrow$  (x+12, y-3).

• (x, y)  $\rightarrow$  (x+4, y-15).

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

How many lines of symmetry does a regular octagon have?

• 4

• none

• 16

• 8

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

Find K' if the figure is reflected across the x-axis

• (4, 1)

• (-1, -4)

• (1, -4)

• (1, 4)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Another name for Reflection is...

• flip
• turn
• slide
• dilation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)
• (x, y) → (x - 2, y + 3)
• (x, y) → (-x, -y)
• (x, y) → (x + 2, y - 3)

Tags

CCSS.HSG.CO.A.2

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3