Free Printable Transformations

1.

A parallelogram with vertices at (0,3), (2,0), (4,2) and (2,5) is reflected over the y-axis. Which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

a)

(0,3)

b)

(2,5)

c)

(2,0)

d)

(4,2)

2.

A triangle will be dilated on a coordinate grid to create a larger triangle. A triangle is dilated using the origin as the center of dilation. Which rule could represent this dilation?

a)

$\left(x,y\right)\rightarrow\left(\frac{2}{9}x,\ \frac{2}{9}y\right)$ )

b)

$\left(x,y\right)\rightarrow\left(x+8,y+3\right)$

c)

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

d)

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

3.

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. The polygon is transformed using the rule $\left(x,y\right)\rightarrow\left(ax,ay\right)$ . Which statement must be true?

a)

If a is greater than 1, the image of the polygon is larger to the polygon.

b)

If a is greater than 1, the image of the polygon is congruent to the polygon.

c)

If a is greater than 1, the image of the polygon is smaller than the polygon.

d)

If a is less than 1, the image of the polygon is congruent to the polygon.

4.

A rectangle with a perimeter of 26 units is graphed on a coordinate grid. The rectangle is dilated by a scale factor of .75 with the origin as the center of dilation. If (x,y) represents the location of any point on the original rectangle, which ordered pair represents the coordinates of the corresponding point on the resulting square?

a)

$\left(x-26,\ y-26\right)$

b)

$\left(x+.75,y+.75\right)$

c)

$\left(26x,26y\right)$

d)

$\left(\frac{3}{4}x,\frac{3}{4}y\right)$

5.

Pentagon ABCDE is transformed on the coordinate plane to create pentagon A'B'C'D'E'. Which rule best describes this transformation?

a)

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

b)

$\left(x,y\right)\rightarrow\left(x-10,y-11\right)$

c)

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

d)

$\left(x,y\right)\rightarrow\left(x+10,y+11\right)$

6.

Triangle QRS was translated 5 units up and 2 units left. Which rule best describes this translation?

a)

$\left(x,y\right)\rightarrow\left(-2x,5y\right)$

b)

$\left(x,y\right)\rightarrow\left(x+5,\ y-2\right)$

c)

$\left(x,y\right)\rightarrow\left(x-2,y+5\right)$

d)

$\left(x,y\right)\rightarrow\left(5x,2y\right)$

7.

A triangle is reflected over the y-axis. Which rule best describes this transformation?

a)

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

b)

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

c)

$\left(x,y\right)\rightarrow\left(x+5,\ y+2\right)$

d)

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

8.

Circle S was dilated with the origin as the center of dilation to create circle S'. Which rule best represents the dilation applied to circle S to create circle S'?

a)

$\left(x,y\right)\rightarrow\left(\frac{1}{4}x,\frac{1}{4}y\right)$

b)

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

c)

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

d)

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

9.

Rectangle J(1,1) K(1,4) L(5,4) M(5,1) is reflected across the y-axis to create rectangle J'K'L'M'. What is the ordered pair for L'?

a)

(-4,5)

b)

(-5,4)

c)

(-5,-4)

d)

(5,-4)

10.

Triangle X(3,4) Y(8,5) Z(5,2) is translated using the rule (x+7,y-5) to create triangle X'Y'Z'. What is the ordered pair for Z'?

a)

(12,-3)

b)

(10,-1)

c)

(0,9)

d)

(15,0)

Transformations

Total questions: 10

Worksheet time: 20mins

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