Free Printable Multiple Transformations

1.

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

a)

Reflect over the x-axis and then rotate clockwise 90 around the origin.

b)

Rotate counterclockwise 90 around the origin and then translate 8 units left.

c)

Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

d)

Rotate clockwise 90 around the origin and then translate 8 units left.

2.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that

\Delta ABC\cong\Delta DEF

a)

Reflect △ABC across the x-axis, then translate it down 1

b)

Reflect △ABC across the x-axis, then translate it up 1

c)

Reflect △ABC across the y-axis, then translate it down 1

d)

Reflect △ABC across the y-axis, then translate it up 1

3.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

a)

Reflect △ABC across the x-axis, then translate it right 1

b)

Reflect △ABC across the y-axis, then translate it right 1

c)

Reflect △ABC across the x-axis, then translate it left 1

d)

Reflect △ABC across the y-axis, then translate it left 1

4.

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

a)

Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

b)

Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

c)

Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

d)

Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

5.

If RQ is rotated 180 degrees about the origin and then translated 1 unit right and 1 unit to down, what are the endpoints of the resulting image?

a)

R' (1, -1) Q' (-1, 2)

b)

R' (2, -2) Q' (0, 1)

c)

R' (0, 0) Q' (2, -3)

d)

R' (0, -2) Q' (-3, 1)

6.

If QR is rotated 270 degrees counterclockwise about the origin and then translated 2 units down and 3 units to the left, what are the endpoints of the resulting image?

a)

Q' (-2, -3) R'(-4, 0)

b)

Q' (-1, -4) R'(-3, -1)

c)

Q' (1, 1) R'(-2, 1)

d)

Q' (1, -1) R'(-1, 2)

7.

If QR is rotated 90 degrees clockwise about the origin and then translated 2 units to the left and 3 units up, what are the endpoints of the resulting image?

a)

Q'(1, 2) R'(-4, 4)

b)

Q'(-1, -3) R'(1, 2)

c)

Q'(-3, 1) R'(2, -1)

d)

Q'(-5, 4) R'(0, 2)

8.

Construct the composite function for a transformation of a triangle that is dilated by a factor of 5, then translated 2 units right and 7 units down.

a)

$T_{-2,\ 7}\ \circ\ D_5$

b)

$D_{\frac{1}{5}}\ \circ\ T_{-2,\ 7}$

c)

$D_5\ \circ\ T_{2,\ -7}$

d)

$T_{2,-7}\ \circ\ D_5$

9.

Construct the composite function for a transformation of a quadrilateral that is translated 6 units left and 2 units up, then reflected over the line y = -x.

a)

$r_{y\ =\ -x}\ \circ\ T_{-6,\ 2}$

b)

$R_{y\ =\ -x}\ \circ\ T_{-6,2}$

c)

$T_{-6,2}\ \circ\ r_{y\ =\ -x}$

d)

$T_{6,-2}\ \circ\ R_{y\ =\ -x}$

10.

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

a)

Rotation 270° counterclockwise around the origin

b)

Reflection across the line y = -x

c)

Rotation 180° counterclockwise around the origin

d)

Reflection across the line y = x

Multiple Transformations

Total questions: 10

Worksheet time: 5mins

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