
Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade
CCSS covered

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9 questions
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1.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Match each coordinate rule to a description of its resulting transformation.
Translate by the directed line segment from (0,0) to (0,4).
Translate by the directed line segment from (0,0) to (3,0).
Dilate using the origin as the center and a scale factor of 2.
Translate by the directed line segment from (0,0) to (0,-4).
Translate by the directed line segment from (0,0) to (-3,4).
Tags
CCSS.HSG.CO.A.2
2.
OPEN ENDED QUESTION
3 mins • 1 pt
Draw the image of triangle ABC under the transformation (x,y) → (x-4,y+1). Label the result T.
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Tags
CCSS.HSG.CO.A.2
3.
OPEN ENDED QUESTION
3 mins • 1 pt
Draw the image of triangle ABC under the transformation (x,y) → (-x,y). Label the result R.
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Tags
CCSS.HSG.CO.B.6
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither.
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Tags
CCSS.HSG.CO.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Reflect triangle ABC over the line x=0. Call this new triangle A’B’C’. Then reflect triangle A’B’C’ over the line y=0. Call the resulting triangle A''B''C''. Which single transformation takes ABC to A''B''C''?
Translate triangle ABC by the directed line segment from (1,1) to (-2,1).
Reflect triangle ABC across the line y=-x.
Rotate triangle ABC counterclockwise using the origin as the center by 180 degrees.
Dilate triangle ABC using the origin as the center and a scale factor of 2.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Reflect triangle ABC over the line y=2. Translate the image by the directed line segment from (0,0) to (3,2). What are the coordinates of the vertices in the final image?
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Tags
CCSS.8.G.A.3
7.
OPEN ENDED QUESTION
3 mins • 1 pt
The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a cylindrical log with radius 0.4 meters, height 5 meters, and mass 1,950 kilograms sink or float? Explain your reasoning.
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Tags
CCSS.HSG.MG.A.2
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