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Sequence of Transformations

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Sequence of Transformations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the sequence of transformations for the image given? 

Reflect over the x-axis (x, -y), then translate left 6 (x-6, y)

Reflect over the x-axis (x, -y), then translate right 6 (x+6, y)

Reflect over the y-axis (-x, y), then translate right 4 and down 6 (x+4, y-6)

Translate down 6 and to the right 6 (x+6, y-6)

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A family moves a table from one part of a room to another part. The graph shows where the table began and to where it is moved. The coordinates of the table before the​ move, EFGH, are ​E(6​,4​), ​F(8​,4​), G(8​,8​), and ​H(6​,8​). The coordinates of the table after the​ move, MNOP, are M(0​,0​), ​N(0​,2​), O(−4​,2​), and ​P(−4​,0​). Describe the sequence of rigid motions. Let each unit represent 1 ft. Which of the following is the description of how the table changes​ places?

A rotation 90º counter-clockwise about the origin, then translated 6 ft to the left and 4 ft down.

A rotation 90º clockwise about the origin, then translated 4ft to the left and 6 ft up.

A rotation 90º clockwise about the origin, then translated 6 ft to the right and 4 ft up.

A rotation 90º counter-clockwise about the origin, then translated 4 ft to the right and 6 ft down.

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which figure is the image of Figure T after a reflection across the​ x-axis and a translation 3 units​ right?

Figure U

Figure V

Figure X

Figure W

Tags

CCSS.8.G.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What combined transformations took the red to the green?

A translation followed by a reflection.

A rotation followed by a translation.

A reflection followed by a translation.

A reflection followed by a rotation.

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Map ΔQRS to ΔQ′R′S′ with a reflection across the​ y-axis followed by a translation of

6 units down.

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.8.G.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which figure can be transformed into Figure Z after a rotation 90° counter-clockwise about the​ origin, and then a translation 9 units right and 3 units down.

Figure X

Figure U

Figure W

Figure Y

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which sequence of transformations will map trapezoid A to its image A'?

Reflection, then a translation

Rotation, then a translation

Reflection, then a rotation

Rotation, then a dilation

Tags

CCSS.8.G.A.3

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