Geometry Transformation Composition Worksheet - Ms. Mullen FZE Math
Geometry Transformation Composition Worksheet
DO NOT WRITE ON THIS
Directions: Use your rules to perform the following transformations. Fill in the chart with the the coordinates
of the image. These are compositions so each step you are starting with the answers that you found in the step
above.
1. Pre-image: A(0,0), B(8,1), C(5,5)
Rotate the figure 180?
A'(_____, _____) B'(_____, _____)
C' (_____, _____)
Reflect the figure over the x-axis
A''(_____, _____) B''(_____, _____) C'' (_____, _____)
Translate the figure according to the vector
A'''(_____, _____) B'''(_____, _____) C''' (_____, _____)
2. Pre-image: D(-12,6), E(-4,6), F(-6,9), G(-10,9) Translate the figure according to (x,y)(x+1,y-6)
D'(_____, _____) E'(_____, _____) F' (_____, _____) G'(_____, _____)
Reflect the figure over the x-axis
D''(_____, _____) E''(_____, _____) F'' (_____, _____) G''(_____, _____)
Reflect the figure over the y-axis
D'''(_____, _____) E'''(_____, _____) F''' (_____, _____) G'''(_____, _____)
Label answers on 3-7 like they are labeled in 1 and 2. 3. Pre-image: H(2,2), I(-2,2), J(-2,-2), K(2,-2) Rotate the figure 180?
Translate the figure according to the vector
Reflect the figure over the line y = x
4. Pre-image: L(7,2), M(0,9), N(-6,-5), P(1,-12) Reflect the figure over the y-axis
Reflect the figure over the x-axis
Rotate the figure 90? counterclockwise about the origin
5. Pre-image: Q(0,0), R(-13,0), S(0,12) Rotate the figure 270? clockwise about the origin
Translate the figure according to (x,y)(x+5,y+5)
6. Pre-image: T(6,-3), U(8,-5), V(7,-7), W(5,-7), X(4,-5) Translate the figure according to (x,y)(x-4,y+3)
Reflect the figure over the line y = x
Rotate the figure 180?
7a. Pre-image: A(0,0), B(8,1), C(5,5) Rotate the figure 90? counterclockwise.
Reflect the figure over the line y=x
Translate the figure according to (x,y)(x+4,y-2)
7b. Pre-image: A(0,0), B(8,1), C(5,5) Translate the figure according to (x,y)(x+4,y-2)
Rotate the figure 90? counterclockwise.
Reflect the figure over the line y=x
7c. Compare your final answers from parts 7a and 7b. Do you get the same coordinates for A''', B''' and C'''? Do you think that the order in which you perform the composition matters? Why or why not? Explain using complete sentences.
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