#4.1 Translations

Name the vector

• $\overrightarrow{JK}$

• $\overrightarrow{KJ}$

• $\overline{JK}$

• $\overline{KJ}$

Tags

CCSS.HSN.VM.A.1

Write the vector's component form.

•  $<2,\ -3>$  

•  $<-3,\ 2>$  

•  $<-2,\ 3>$  

•  $<3,\ -2>$  

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

The vertices of

 $\Delta ABC$ are A(2, 1),  B(-6, 4), and C(-3, -2).  Translate the triangle using vector    $<-1,\ 3>$  . What are the coordinates of the image?

• A(1,4), B(-7,7), C(-2, 5)

• A(3, 2), B(-5, 1), C(-2, 1)

• A(1,4),  B(-7, 7),  C(-4, 1)

• A(3, 2),  B(-5, 1),  C(-4, 5)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Write a translation rule for the translation from $\Delta RST\ to\ \Delta R'S'T'$  
Look carefully at the increments on the graph!

•  $\left(x,\ y\right)\rightarrow\left(x+3,\ y+2\right)$  

•  $\left(x,\ y\right)\rightarrow\left(x-3,\ y-2\right)$  

•  $\left(x,\ y\right)\rightarrow\left(x-6,\ y-4\right)$  

•  $\left(x,y\right)\rightarrow\left(x+6,\ y+4\right)$  

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

What are the coordinates of the vertices of the image after the translation is applied? $\left(x,\ y\right)\rightarrow\left(x+2,\ y-1\right)$  

• A (-1, 3)  and B(4, -4)

• A (-5, 5) and B (4, -2)

• A (-6, -4) and B (4, 4)

• A (4, -4) and B (-2, 7)

Use the translation $\left(x,\ y\right)\rightarrow\left(x+1,\ y-3\right)$  to find the image of the point Q(5, 9).

•  $Q'\ \left(6,\ 6\right)$  

•  $Q'\ \left(4,\ 10\right)$  

•  $Q'\ \left(6,\ 10\right)$  

•  $Q'\ \left(4,\ 6\right)$  

Find the image of  $P\left(3,\ 4\right)$  after the composition of translations  $\left(x,\ y\right)\rightarrow\left(x+1,\ y-2\right)$  and   $\left(x,\ y\right)\rightarrow\left(x-5,\ y+1\right)$  

•  $\left(-2,\ 5\right)$  

•  $\left(4,\ 2\right)$  

•  $\left(-1,\ 3\right)$  

•  $\left(2,\ 6\right)$  

Find the image of  $D\left(0,\ -2\right)$  after the composition of translations  $\left(x,\ y\right)\rightarrow\left(x+10,\ y-8\right)$  and   $\left(x,\ y\right)\rightarrow\left(x-7,\ y+15\right)$  

•  $\left(3,\ 5\right)$  

•  $\left(10,\ -10\right)$  

•  $\left(-7,\ 13\right)$  

•  $\left(-4,\ 8\right)$  

Write the vector's component form. (Assume the units on the graph are 1)

•  $<3,\ 6>$  

•  $<-3,\ -6>$  

•  $<6,\ 3>$  

•  $<-6,\ -3>$  

Find the component form of the vector that translates

 $A\left(3,-2\right)\ to\ A'\left(-1,4\right)$  

•  $<-4,\ 2>$  

•  $<2,\ 2>$  

•  $<-4,\ 6>$  

•  $<2,\ 6>$