Free Printable Algebraic Representations-Part 1

1.

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

a)

$\left(x,y\right)\rightarrow\left(0.5x,0.5y\right)$

b)

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

c)

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

d)

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

2.

A figure is translated 5 units down and 3 units to the right. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$x+3$

$y-5$

$\left(y-3\right)$

$x-3$

$y+3$

$x-5$

$x+5$

$y+5$

3.

A figure is rotated $270\degree$ clockwise. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$-y$

$x$

$y$

$-x$

4.

Which algebraic representation best describes the transformation shown?

a)

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

b)

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

c)

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

d)

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

5.

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

a)

$\left(x,y\right)\rightarrow\left(\frac{1}{3}x,\frac{1}{3}y\right)$

b)

$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\frac{1}{2}y\right)$

c)

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

d)

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

6.

Triangle ABC was transformed to create triangle A'B'C'. Which algebraic representation best 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)

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

7.

Circle I was transformed to create Circle II. Which rule best describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(\frac{3}{8}x,\frac{3}{8}y\right)$

b)

$\left(x,y\right)\rightarrow\left(\frac{8}{3}x,\frac{8}{3}y\right)$

c)

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

d)

$\left(x,y\right)\rightarrow\left(\frac{1}{3}x,\frac{1}{3}y\right)$

8.

Which algebraic representation best describes the transformation shown?

a)

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

b)

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

c)

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

d)

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

9.

Rectangle ABCD is dilated with a scale factor of 0.5 to create rectangle A'B'C'D'. What will the coordinates be for B'?

a)

$\left(5,2\right)$

b)

$\left(2.5,1\right)$

c)

$\left(5.5,2.5\right)$

d)

$\left(10,4\right)$

10.

Rectangle ABCD was translated to create rectangle A'B'C'D'. Which algebraic representation best describes this transformation?

a)

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

b)

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

c)

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

d)

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

11.

Trapezoid PQRS will be dilated with the origin as the center of dilation to create trapezoid P'Q'R'S'. The vertex Q' will be at $\left(26,52\right).$ Which rule best represents this dilation?

a)

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

b)

$\left(x,y\right)\rightarrow\left(13x,13y\right)$

c)

$\left(x,y\right)\rightarrow\left(\frac{1}{13}x,\frac{1}{13}y\right)$

d)

$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\frac{1}{2}y\right)$

12.

Quadrilateral EFGH was translated to create quadrilateral E'F'G'H'. Which algebraic representation best describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(x+6,y-3\right)$

b)

$\left(x,y\right)\rightarrow\left(x-3,y-6\right)$

c)

$\left(x,y\right)\rightarrow\left(x+3,\ y+6\right)$

d)

$\left(x,y\right)\rightarrow\left(x-6,y-3\right)$

13.

The table shows the coordinates of the vertices of pentagon ABCDE. Pentagon ABCDE is dilated by a scale factor of $\frac{7}{3}$ with the origin as the center of dilation to create pentagon A'B'C'D'E'. If (x,y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A'B'C'D'E'?

a)

$\left(\frac{3}{7}x,\frac{3}{7}y\right)$

b)

$\left(x+\frac{3}{7},y+\frac{3}{7}\right)$

c)

$\left(x+\frac{7}{3},y+\frac{7}{3}\right)$

d)

$\left(\frac{7}{3}x,\frac{7}{3}y\right)$

14.

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(-x,y\right)$ to create triangle H'J'K'. Which graph represents triangle H'J'K'?

a)

b)

c)

d)

15.

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule $\left(x,y\right)\rightarrow\left(x,-y\right)$ to create triangle H'J'K'. Which graph represents triangle H'J'K'?

a)

b)

c)

d)

16.

A figure is rotated $90\degree$ clockwise. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$y$

$-x$

$-y$

$x$

17.

A figure is rotated $180\degree$ clockwise. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$-x$

$-y$

$x$

$y$

18.

A figure is rotated $270\degree$ counterclockwise. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$y$

$-x$

$-y$

$x$

19.

A figure is rotated $90\degree$ counterclockwise. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$-y$

$x$

$y$

$-x$

20.

A figure is translated 5 units right and 3 units up. Write an algebraic representation best describes this transformation.

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

Choose from the below words

$x+5$

$y+3$

$y-3$

$x-3$

$x-5$

$y+5$

$y-5$

$x+3$

Algebraic Representations-Part 1

Total questions: 20

Worksheet time: 48mins

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