Rotations, Reflections, and Transformations

If △EFG (purple triangle) is the rotated image of △ABC (blue triangle), which graph shows a rotation of 180^∘ about the origin?

• GRAPH A

• GRAPH B

• GRAPH C

• GRAPH D

Tags

CCSS.HSG.CO.B.6

If △EFG (purple triangle) is the image of △ABC (blue triangle), how could △EFG have been created?

• △ABC was reflected over the x-axis to create △EFG

  .

• △ABC was reflected over the y -axis to create △EFG

  .

• △ABC was rotated 360^∘ about the origin to create △EFG

  .

• △ABC was rotated 180^∘ about the origin to create △EFG

  .

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Suppose a point at (2,3) is translated to (7,−1). What rule describes this translation?

• (x,y)→(x+5,y−4)

• (x,y)→(x−5,y+4)

• (x,y)→(x+9,y−2)

• (x,y)→(x−9,y+2)

Tags

CCSS.HSG.CO.A.2

If the point (−5,−8) is reflected over the y-axis, what are the coordinates of the reflected point?

• (5,8)

• (−5,8)

• (5,−8)

• (−8,−5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the point (−1,3) is translated according to the rule (x,y)→(x+4,y−2), and then reflected across the x-axis, what are the coordinates of the final image?

• (3,−1)

• (3,1)

• (−1,3)

• (--3,−1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5