Compositions

8 September 2022
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10 test answers

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question
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
answer
a 270° rotation about point B'
question
Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image?
answer
(3, 8)
question
The rule is applied to ΔABC. Which triangle shows the final image?
answer
Which triangle shows the final image?
question
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G"H"J"K"?
answer
a reflection across line m
question
Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?
answer
Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
question
The rule is applied to ΔFGH to produce ΔF"G"H". On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?
answer
(4, -1.5)
question
Parallelogram F"G"H"J" is the final image after the rule was applied to parallelogram FGHJ. Parallelogram F double-prime G double-prime H double-prime J double-prime has points (3, 4), (2, 2), (4, 2), (5, 4). What are the coordinates of vertex F of parallelogram FGHJ?
answer
(-4, 2)
question
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
answer
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
question
On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0). Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"?
answer
Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.
question
Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is shifted down to E double-prime F double-prime G double-prime H double-prime. Which composition of transformations maps figure EFGH to figure E"F"G"H"?
answer
a reflection across line k followed by a translation down