Transformations on the Coordinate Plane

Trapezoid PQRS is rotated  $180\degree$  is rotated about the origin to form trapezoid P'Q'R'S'. Which statement is true?

• The sum of the angle measures of trapezoid PQRS is  $180\degree$  less than the sum of the angle measures of trapezoid P'Q'R'S'.

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Pentagon ABCDE is rotated  $180\degree$  clockwise about the origin to form pentagon A'B'C'D'E. Which statement is true?

• Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

• The sum of the angle measures of pentagon A'B'C'D'E' is  $180\degree$  more than the sum of the angle measures of pentagon ABCDE.

• Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

• Each side length of pentagon A'B'C'D'E' is  $\frac{1}{2}$  the corresponding side lenth of pentagon ABCDE.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Quadrilateral PRST is transformed according the the rule  $\left(x,\ y\right)\rightarrow\left(x+9,\ y+4\right)$  to create quadrilateral P'R'S'T'. Which statement is true.

• The side lengths of quadrilateral P'R'S'T' are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST.

• The angle measures of quadrilateral P'R'S'T' are greater that the corresponding angle measures of quadrilateral PRST.
  

• The side lengths of quadrilateral P'R'S'T' are 9 units longer than the corresponding side lengths of quadrilateral PRST.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which representation of a transformation on a coordinate grid does not preserve congruence?

• $\left(x,\ y\right)\rightarrow\left(\frac{1}{7}x,\frac{1}{7}y\right)$

• $\left(x,y\right)\rightarrow\left(x+7,\ y+7\right)$

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

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

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?

• A reflection across the x-axis

• A translation 7 units down

• A dilation by scale factor of 5

• A rotation of $90\degree$ clockwise

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes the transformation?

• $\left(x,y\right)\rightarrow\left(x,y-7\right)$

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

• $\left(x,y\right)\rightarrow\left(x-7,y\right)$

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

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'. Which rule describes this transformation?

• $\left(x,y\right)\rightarrow\left(x-5,y-3\right)$

• $\left(x,y\right)\rightarrow\left(x+5,y+3\right)$

• $\left(x,y\right)\rightarrow\left(x-3,y-5\right)$

• $\left(x,y\right)\rightarrow\left(x+3,y+5\right)$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

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

• $\left(x,y\right)\rightarrow\left(x,y+8\right)$

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

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

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

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

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

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

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

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

The coordinate grid shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon. Which rule best describes this transformation?

• $\left(x,y\right)\rightarrow\left(x-1,y-10\right)$

• $\left(x,y\right)\rightarrow\left(x+1,\ y-10\right)$

• $\left(x,y\right)\rightarrow\left(x-1,y+10\right)$

• $\left(x,y\right)\rightarrow\left(x+1,y+10\right)$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3