EOC Review: Transformations

What are the coordinates of A' after

 $\overline{AB}$  is translated by the rule  $\left(x,\ y\right)\rightarrow\left(x\ +\ 5,\ y\ -\ 2\right)$  ?

• (-4, -1)

• (3, 2)

• (0, -1)

• (1, 4)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

What are the coordinates of point A’ after ABCD is reflected over x = -2?

• (-8, 4)

• (-7, -4)

• (3, 4)

• (7, 4)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle ABC is rotated 90 degrees counterclockwise about the origin. Which of the following is true in regards to A’B’C’?

• A’B’C’ is a rigid transformation located in quadrant IV.

• A’B’C’ is a non-rigid transformation located in quadrant II.

• A’B’C’ is a non-rigid transformation located in quadrant IV.

• A’B’C’ is a rigid transformation located in quadrant II.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which of the following will rotate the regular polygon shown onto itself?

• $30\degree$
  

• $36\degree$

• $45\degree$

• $60\degree$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

In the diagram, ABCD is dilated about point E to form A'B'C'D'. What is the scale factor of the dilation?

• $\frac{1}{2}$

• $-\frac{1}{2}$

• 2

• -2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

What are the coordinates of point A" if triangle ABC is reflected over the y-axis and then translated by the rule $\left(x,\ y\right)\rightarrow\left(x\ -\ 5,\ y\ -\ 5\right)$  ?

• (-2, 2)

• (2, 2)

• (-2, -2)

• (2, -2)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Which of the following shows a rotation 90 degrees counterclockwise about the origin and then a translation  $\left(x,\ y\right)\rightarrow\left(x\ -\ 2,\ y\ -\ 5\right)$  ?

• 
• 
• 
• 

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which rule was used to translate trapezoid DEFG to trapezoid D'E'F'G'?

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

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

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

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

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

After a reflection, the preimage B(3, 4) is transformed to the image B'(-4, -3). What was the line of reflection?

• x-axis

• y-axis

• y = x

• y = -x

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Point A is mapped to point A" (-1,4) after a translation of (x, y) → (x - 4, y + 1) following a reflection over y = 4.What are the coordinates of A?

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3