Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems

Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems

6th Grade

9 Qs

quiz-placeholder

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Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems

Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems

Assessment

Quiz

Mathematics

6th Grade

Practice Problem

Hard

CCSS
HSG.CO.A.2, 8.G.A.3, HSG.CO.B.6

+3

Standards-aligned

Created by

Illustrative Mathematics

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9 questions

Show all answers

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

Media Image

Draw the image of triangle ABC under the transformation (x,y) → (x-4,y+1). Label the result T.

Evaluate responses using AI:

OFF

Tags

CCSS.HSG.CO.A.2

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Draw the image of triangle ABC under the transformation (x,y) → (-x,y). Label the result R.

Evaluate responses using AI:

OFF

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

Media Image

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

Media Image

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.

Evaluate responses using AI:

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Tags

CCSS.HSG.MG.A.2

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