Free Printable Rigid Transformations

1.

What is the angle of rotation if a rotation about the origin maps $\left(3,\ 1\right)$ to $\left(1,\ -3\right)$ ?

a)

$90\degree$ rotation counterclockwise

b)

$270\degree$ rotation counterclockwise

c)

$180\degree$ rotation

d)

$270\degree$ rotation clockwise

2.

What are the coordinates of the image of $\left(-3,\ 2\right)$ when the point is reflected across the line $y=6$ ?

a)

$\left(-3,\ 10\right)$

b)

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

c)

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

d)

$\left(2,\ -3\right)$

3.

What is the image of $\left(-4,\ -5\right)$ when it is reflected across the line $y=x$ ?

a)

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

b)

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

c)

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

d)

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

4.

Translate the quadrilateral $W\left(-2,\ 2\right),\ X\left(-3,\ 3\right),\ Y\left(-6,\ 5\right),\ Z\left(-6,\ 3\right)$ using the transformation $\left(x-2,\ y+4\right)$ .

a)

$W'\left(1,\ 7\right),\ X'\left(0,8\right),\ Y'\left(-3,\ 10\right),\ Z'\left(-3,\ 8\right)$

b)

$W'\left(-5,\ 3\right),\ X'\left(-6,\ 4\right),\ Y'\left(-9,\ 6\right),\ Z'\left(-9,\ 4\right)$

c)

$W'\left(-4,\ 6\right),\ X'\left(-5,\ 7\right),\ Y'\left(-8,\ 9\right),\ Z'\left(-8,\ 7\right)$

d)

$W'\left(4,\ 0\right),\ X'\left(3,\ 1\right),\ Y'\left(0,\ -3\right),\ Z'\left(0,\ 1\right)$

5.

When the point $\left(-6,\ 2\right)$ is reflected across the x-axis, what is the resulting image?

a)

$\left(6,\ 2\right)$

b)

$\left(2,\ -6\right)$

c)

$\left(-6,\ -2\right)$

d)

$\left(6,\ -2\right)$

6.

What is the image of the point $\left(-5,\ 2\right)$ after a $90\degree$ counterclockwise rotation?

a)

$\left(-5,\ -2\right)$

b)

$\left(-2,\ -5\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(5,\ -2\right)$

7.

$\Delta JKL$ is translated so that the image of $K'\left(4,\ -12\right)$ . A composition of reflections across the lines of which equations creates the same image?

a)

first $y=-1$ , then $y=-9$

b)

first $y=-5$ , then $y=-1$

c)

first $y=-5$ , then $y=-9$

d)

first $y=-9$ , then $y=-1$

8.

After a translation, the image of $P\left(-3,\ 5\right)$ is $P'\left(-4,\ 3\right)$ . Identify the image of the point $\left(1,\ -6\right)$ after this same translation.

a)

$\left(4,\ -1\right)$

b)

$\left(-2,\ -5\right)$

c)

$\left(7,\ -8\right)$

d)

$\left(0,\ -8\right)$

9.

Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points.
D: $\left(x,\ y\right)\rightarrow\left(3x,\ 3y\right)$

$J\left(1,\ 4\right),\ K\left(6,\ 4\right),\ L\left(6,\ 1\right),\ M\left(1,\ 1\right)$

a)

$J'\left(2,\ 8\right),\ K'\left(12,\ 8\right),\ L'\left(12,\ 2\right),\ M'\left(2,2\right)$

b)

$J'\left(3,\ 12\right),\ K'\left(18,\ 12\right),\ L'\left(18,\ 3\right),\ M'\left(3,\ 3\right)$

c)

$J'\left(3,\ 8\right),\ K'\left(18,\ 8\right),\ L'\left(18,\ 2\right),\ M'\ \left(3,\ 2\right)$

d)

$J'\left(2,\ 12\right),\ K'\left(12,\ 12\right),\ L'\left(12,\ 3\right),\ M'\left(2,\ 3\right)$

Rigid Transformations

Total questions: 9

Worksheet time: 2hrs 40mins

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