Free Printable Transformations on the Coordinate Plane

1.

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

a)

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'.

b)

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

c)

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

d)

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

2.

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

a)

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

b)

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.

c)

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

d)

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

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.

a)

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

b)

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

c)

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

d)

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

4.

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

a)

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

b)

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

c)

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

d)

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

5.

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

a)

A reflection across the x-axis

b)

A translation 7 units down

c)

A dilation by scale factor of 5

d)

A rotation of $90\degree$ clockwise

6.

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

a)

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

b)

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

c)

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

d)

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

7.

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?

a)

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

b)

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

c)

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

d)

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

8.

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?

a)

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

b)

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

c)

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

d)

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

9.

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?

a)

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

b)

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

c)

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

d)

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

10.

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?

a)

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

b)

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

c)

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

d)

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

11.

A cricle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?

a)

$\left(x,y\right)$

b)

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

c)

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

d)

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

12.

The coordinate grid shows the parallelogram PQRS. Parallelogram PQRS is rotated $90\degree$ clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

a)

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

b)

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

c)

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

d)

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

13.

The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4), and T(4, 2). Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T'. Which rule describes this transformation?

a)

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

b)

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

c)

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

d)

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

14.

Triangle ABC was translated 2 nits to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C'?

a)

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

b)

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

c)

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

d)

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

15.

A figure is graphed on a coordinate grid as shown. The figure is rotated $180\degree$ clockwise withthe origin as the center of rotation to create a new figure. Which rule describes this transformation?

a)

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

b)

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

c)

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

d)

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

Transformations on the Coordinate Plane

Total questions: 15

Worksheet time: 30mins

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