Free Printable Translations and Reflections

1.

What rule transforms the black figure into the blue figure?

a)

$\left(x\ ,\ y\right)\rightarrow\left(x-1\ ,\ y+3\right)$

b)

$\left(x\ ,\ y\right)\rightarrow\left(x+1\ ,\ y-3\right)$

c)

$\left(x,y\right)\rightarrow\left(x-3\ ,\ y+1\right)$

d)

$\left(x\ ,\ y\right)\rightarrow\left(x+3\ ,\ y-1\right)$

2.

A reflection maps $\Delta ABC$ onto $\Delta A'B'C'$ . What is the equation of the line of reflection?

a)

$y=2$

b)

$x=2$

c)

$x=1$

d)

$y=1$

3.

What is the image of

\angle N

?

a)

$\angle R$

b)

$\angle X$

c)

$\angle S$

d)

$\angle M$

4.

$\overline{AB}$ has endpoints $A\left(-2,5\right)$ and $B\left(3,-1\right)$ . After a translation, the image of A has coordinates $\left(-5,11\right)$ . What are the coordinates of the image of B?

a)

$\left(6,-6\right)$

b)

$\left(6,5\right)$

c)

$\left(0,5\right)$

d)

$\left(-3,1\right)$

5.

A translation maps

P\left(-4,12\right)

onto

P'\left(8,-30\right)

. What is a rule for this translation?

a)

$\left(x,y\right)\rightarrow\left(x-12,y+18\right)$

b)

$\left(x,y\right)\rightarrow\left(x-26,y-4\right)$

c)

$\left(x,y\right)\rightarrow\left(-2x,-3y+6\right)$

d)

$\left(x,y\right)\rightarrow\left(x+12,y-42\right)$

6.

What are the coordinates of the image of C after a reflection over the line $y=-1$ ?

a)

$\left(3,3\right)$

b)

$\left(3,-6\right)$

c)

$\left(-5,-4\right)$

d)

( $\left(-5,-6\right)$

7.

What side corresponds with

\overline{PN}

?

a)

$\overline{TX}$

b)

$\overline{XS}$

c)

$\overline{RM}$

d)

$\overline{MS}$

8.

What rule maps the black figure onto the blue figure? (the black figure is the preimage)

a)

$\left(x\ ,\ y\right)\rightarrow\left(x+3\ ,\ y+4\right)$

b)

$\left(x\ ,\ y\right)\rightarrow\left(x+4\ ,\ y+3\right)$

c)

$\left(x\ ,\ y\right)\rightarrow\left(x-3\ ,\ y-4\right)$

d)

$\left(x\ ,\ y\right)\rightarrow\left(x-4\ ,\ y-3\right)$

9.

A reflection maps $\overline{AB}$ onto $\overline{A'B'}$ . What is the equation of the line of reflection?

a)

$y=0$

b)

$x=0$

c)

$y=1$

d)

$x=1$

10.

$\Delta ABC$ is reflected over the x-axis. If vertex A has coordinates $\left(-3,5\right)$ , what are the coordinates of its image A'?

a)

$\left(3,5\right)$

b)

$\left(-3,-5\right)$

c)

$\left(5,-3\right)$

d)

$\left(-5,3\right)$

Translations and Reflections

Total questions: 10

Worksheet time: 20mins

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