Transformations in the Coordinate Plane

Translate triangle JKL using the following rule
 $\left(x,y\right)\rightarrow\left(x+4,\ y-3\right)$  

What are the coordinates of the image?

• J'(0,-2) K'(2,-2) L'(2,0)

• J'(1,0) K'(1,1) L'(1,-1)

• J'(0,-1) K'(1,-1) L'(1,1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Translate triangle JKL using the following rule
 $\left(x,y\right)\rightarrow\left(x+2,\ y\right)$  

What are the coordinates of the image?

• J'(0,-2) K'(2,-2) L'(2,4)

• J'(-2,2) K'(-1,2) L'(-1,4)

• J'(-4,4) K'(-3,4) L'(-3,6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the triangle over the y-axis. Which rule does this match?

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

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

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the quadrilateral TUVW over the x-axis. What are the coordinates of W' and U'?

• W'(2,-4) U'(1,-3)

• W'(4,-2) U'(1,3)

• W'(-4,2) U'(-1,-3)

• W'(2,4) U'(1,-3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the quadrilateral TUVW over the y-axis. What are the coordinates of T' and V'?

• T'(2,4) V'(-2,1)

• T'(4,2) V'(1,-2)

• T'(4,-2) V'(1,2)

• T'(-4,-2) V'(-1,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the triangle $\ 90\degree\$  clockwise about the origin. What quadrant is the triangle now in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

By how many degrees would this quadrilateral need to be rotated to end up in Quadrant III?

• Clockwise, 90 degrees

• Counterclockwise, 180 degrees

• Counterclockwise 90 degrees

• Clockwise 270 degrees

Tags

CCSS.8.G.A.3

Reflect the quadrilateral over the x-axis. What could one possible point be of the image?

• (-2,1)

• (-1,-5)

• (0,4)

• (3,-4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If point (4,6) is reflected over the y-axis and then translated by the following rule (x,y) -- (x-3,y+2),  what are the coordinates of the new point?

• (-1,8)

• (-7,4)

• (1,-4)

• (-7,8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If triangle JKL is rotated 180 degrees about the origin, what are the new coordinates of K'?

• K' (-2,-4)

• K' (2,-4)

• K' (-4,-2)

• K' (4,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5