Quiz about Sequence of Transformations

Question 1

Which of the following describes the sequence of transformations shown?

Accepted Answer

Translation followed by a rotation.

Answer

Reflection followed by a rotation.

Answer

Rotation followed by a translation.

Answer

Reflection across the x-axis followed by a reflection across the y-axis.

Question 2

What sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

Accepted Answer

Rotation, then Dilation

Answer

Reflection, then Translation

Answer

Reflection, then Rotation

Answer

Dilation, then Reflection

Question 3

Which sequence of transformations will result from shape F to its image shape F''?

Accepted Answer

Reflection, then rotation

Answer

Reflection over both axes

Answer

Translation, then reflection

Answer

Rotation, then translation

Question 4

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

Accepted Answer

Reflection, then translation

Answer

Rotation, then translation

Answer

Reflection, then rotation

Answer

Rotation, then dilation

Question 5

What series of transformations occurred to pentagon QRSTU to form its image Q"R"S"T"U"?

Accepted Answer

Reflection over the y-axis, then a translation.

Answer

Translation, then a reflection over the y-axis.

Answer

Reflection over the x-axis, then a translation.

Answer

Rotation, then a reflection over the y-axis.

Question 6

What sequence of transformations maps the red parallelogram to the green parallelogram?

Accepted Answer

A reflection followed by a translation.

Answer

A translation followed by a reflection.

Answer

A rotation followed by a translation.

Answer

A reflection followed by a rotation.

Question 7

Which series of transformations were performed in the figure?

Accepted Answer

Rotation 90^oclockwise, reflection over the x-axis

Answer

Translation 5 units down, reflection over the y-axis

Answer

Reflection over the x-axis, translation 6 units right

Answer

Rotation 180^oclockwise, reflection over the y-axis

Question 8

Which of the statements is true about the graphed triangles?

Accepted Answer

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Answer

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

Answer

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

Answer

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Question 9

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

Accepted Answer

Dilation by a scale factor of 3, then dilation by a scale factor of 3.

Answer

Translation 3 units left, then translation 7 units down.

Answer

Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

Answer

Translation 4 units right, then translation 6 units up.

Question 10

Squares K and P are similar. Which series of transformations of square K show that K and P are similar?

Accepted Answer

Rotation 45 degree, then dilation by a scale factor of 0.5.

Answer

Rotation 90 degree, then dilation by a scale factor of 0.5.

Answer

Reflection over a vertical axis, then dilation by a scale factor of 0.5.

Answer

Reflection over a horizontal axis, then dilation by a scale factor of 0.5

Question 11

Figures A and B are similar. Which transformation of figure A shows that A and B are similar?

Accepted Answer

Dilation by a scale factor of 3

Answer

Translation 3 units up

Answer

Translation 3 units down

Answer

Dilation by a scale factor of 1/3

Question 12

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 13

Is this a line of symmetry?

Accepted Answer

No

Answer

Yes

Question 14

Write a rule for the translation.

Accepted Answer

(x +2, y  - 1)

Answer

(x -1, y  + 2)

Answer

(x -2, y  + 1)

Answer

(x +1, y  -  2)

Question 15

Identify the transformation.

Accepted Answer

Translation 5 units left, 1 unit up.

Answer

Reflection across y-axis

Answer

90 Rotation counter clockwise

Answer

Translation 5 units right, 1 unit down

Question 16

Identify the transformation from C to D.

Accepted Answer

270^o Clockwise Rotation

Answer

90^o Clockwise Rotation

Answer

180^o Rotation

Answer

360^o Rotation

Question 17

Identify the transformation from B to D.

Accepted Answer

180^o Rotation

Answer

90^o Clockwise Rotation

Answer

270^o clockwise Rotation

Answer

360^o Rotation

Question 18

What is the rule for a 180 degree rotation?

Accepted Answer

(-x, -y)

Answer

(-y, -x)

Answer

(y, -x)

Answer

(-y, x)

Question 19

What is the rule for a 270 degree counterclockwise rotation?

Accepted Answer

(y, -x)

Answer

(-x, y)

Answer

(-y, x)

Answer

(-x, -y)

Question 20

What word means reflection?

Accepted Answer

Flip

Answer

Slide

Answer

Turn

Question 21

What word means translation?

Accepted Answer

Slide

Answer

Turn

Answer

Flip

Question 22

What word means rotation?

Accepted Answer

Turn

Answer

Slide

Answer

Flip

Question 23

The shapes stay congruent when translating, rotating, and reflecting.

Accepted Answer

True

Answer

False

Question 24

Which represents right 4 and down 2?

Accepted Answer

(x + 4, y - 2)

Answer

(x - 2, y + 4)

Answer

(x - 4, y - 2)

Answer

(x + 4, y + 2)

Question 25

How many quadrants are moved when rotating 180 degrees?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 26

In which quadrant will the triangle be in after rotated 270 degrees clockwise?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 27

What is the translation?

Accepted Answer

(x - 4, y + 5)

Answer

(x + 5, y - 4)

Answer

(x + 4, y - 5)

Answer

(x - 4, y - 5)

Question 28

What does A(2, 5) become after rotated 360 degrees?

Accepted Answer

(2, 5)

Answer

(-2, -5)

Answer

(-5, 2)

Answer

(5, -2)

Question 29

What does A(-3, 4) become after rotated 90 degrees counterclockwise?

Accepted Answer

(-4, -3)

Answer

(4, 3)

Answer

(3, -4)

Answer

(-4, 3)

Question 30

What is the new coordinate of A(-2, 4) after being translated (x + 1, y - 2)

Accepted Answer

A'(-1, 2)

Answer

A'(-3, 2)

Answer

A'(-2, 4)

Answer

A'(2, -8)

Question 31

What quadrant is (2, -5) located in?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 32

What is the rule for a 90 degree counterclockwise rotation?

Accepted Answer

(-y, x)

Answer

(x, y)

Answer

(-x, -y)

Answer

(y, -x)

Question 33

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

only an enlargement

Answer

only a reduction

Answer

Neither an enlargement or a reduction

Question 34

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 1/2.

Question 35

Translations, reflections and rotations are all known as ________________________.

Accepted Answer

Rigid Transformations

Answer

<p>Geometry</p>

Answer

Congruent Transformatives

Answer

Specialty Transformations

Question 36

Congruent means...

Accepted Answer

The same size and same shape.

Answer

The same angles.

Answer

Equal to.

Answer

The same transformation.

Sequence of Transformations

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