Quiz about Transformation Non-Rigid

Question 1

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)

Answer

Not enough information to write a rule.

Question 2

Identify the transformation from ABC to A'B'C'.

Accepted Answer

Reflection across the x-axis

Answer

90^o clockwise rotation

Answer

90^o counter clockwise rotation

Answer

Reflection across the y-axis

Answer

Translation down 2 units

Question 3

Identify the transformation from ABCD to A'B'C'D'.

Accepted Answer

Translation (x,y) -->(x-7,y)

Answer

Reflection across the y-axis

Answer

Reflection across the x-axis

Answer

90^o counter clockwise Rotation

Answer

Translation (x,y) --> (x+7, y)

Question 4

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Answer

Not enough information

Question 5

Which of the following describes the sequence of transformations shown?

Accepted Answer

Translate up and then rotate 90 (counterclockwise) degrees about the origin.

Answer

Reflect across the x-axis and then rotate -90 (clockwise) around the origin

Answer

Rotate -90 (clockwise) degrees around the origin and then translate down.

Answer

Reflect across the x-axis and then reflect across the y-axis.

Answer

Y-Axis reflection and then a x-axis reflection.

Question 6

What types of transformations happened to get from shape 1 to shape 3, choose ALL that apply.

Accepted Answer

Translation

Accepted Answer

Rotation

Accepted Answer

Reflection

Answer

Dilation

Answer

Non-Rigid Transformation

Question 7

Dilate Point B by a scale factor of 1/2

Accepted Answer

(-1.5,1)

Answer

(1.5,-4)

Answer

(-1,-1.5)

Answer

(-2,-2)

Answer

(-6,4)

Question 8

Choose the correct transformations

Accepted Answer

right 1, down 4, and then reflection over the y-axis

Answer

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

Answer

right 6, and then reflection over the x-axis

Answer

reflection over the line y=x, and then translate up 4, right 2

Answer

reflection over the y-axis, and then (x,y) --> (x-1, y+4)

Question 9

Choose the correct transformations

Accepted Answer

right 6, and then reflection over the x-axis

Answer

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

Answer

right 1, down 4, and then reflection over the y-axis

Answer

reflection over the line y=x, and then translate up 4, right 2

Answer

reflection of the x-axis, and then a translation to the left 6

Question 10

Choose the correct transformations

Accepted Answer

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

Answer

right 1, down 4, and then reflection over the y-axis

Answer

right 6, and then reflection over the x-axis

Answer

reflection over the line y=x, and then translate up 4, right 2

Answer

reflection over the x-axis, and then rotate 90 degrees clockwise around the origin

Question 11

Describe the transformations that map ABC onto A"B"C"

Accepted Answer

translate 5 down and 1 left, then reflect over y

Answer

translate 5 up and 1 left then reflect over y

Answer

reflect over y=x then translate left 8

Answer

reflect over x then rotate 90 clockwise

Answer

reflect over the x-axis then translate 4 to the right

Question 12

Name the series of transformations that maps ABC onto DEF

Accepted Answer

reflect over x then translate left 6 up 1

Answer

reflect over y then translate down 6 left 1

Answer

translate right 6 down 1, then reflect over x

Answer

rotate 90 clockwise then reflect over y

Answer

reflect over y then right 6 down 1

Question 13

What is an isometry?

Accepted Answer

A transformation that preserves the preimage shape and size, such as, a reflection, translation, and rotation.

Answer

A transformation that changes the preimage size.

Answer

A transformation that translates the image.

Answer

A transformation that morphs the preimage to a new shape.

Answer

A transformation that preserves the preimage shape and but not size, is the commonly used to describe dilations that form similar figures.

Question 14

The rule for dilation is

(x, y) --> _

Accepted Answer

(kx, ky)

Answer

(x, -y)

Answer

(-x, y)

Answer

(x+a, y+b)

Answer

(-x,-y)

Question 15

The rule for reflection over the x-axis is

(x, y) --> _

Accepted Answer

(x, -y)

Answer

(-x, y)

Answer

(y, x)

Answer

(-y, -x)

Answer

(-x,-y)

Question 16

The rule for rotation of 90 degrees counterclockwise is

(x, y) --> _

Accepted Answer

(-y, x)

Answer

(y, -x)

Answer

(x, -y)

Answer

(-x, y)

Answer

(-x,-y)

Question 17

The rule for rotation of 180 degrees is

(x, y) --> _

Accepted Answer

(-x, -y)

Answer

(-y, x)

Answer

(y, -x)

Answer

(-y, -x)

Answer

(-x, y)

Question 18

A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called

Accepted Answer

Rigid Motion Transformation

Answer

Dilation

Answer

Non-Isometric

Answer

Non- Rigid Motion Transformation

Answer

Similar Figure Transformation

Question 19

Which is NOT an Isometry?

Accepted Answer

Dilation

Answer

Relection

Answer

Rotation

Answer

Translation

Answer

Not Enough Information

Question 20

A rigid motion creates figures that are ____________.

Accepted Answer

congruent

Answer

different sizes

Answer

similar

Answer

larger

Answer

dilated figures

Question 21

A rigid motion ...

Accepted Answer

preserves size and shape

Answer

preserves size and location

Answer

preserves shape and location

Answer

makes the figure larger

Answer

preserves shape and the size is different by a scale factor

Question 22

Which of the following transformation will map the regular pentagon onto itself, choose ALL that apply?

Accepted Answer

y axis reflection

Accepted Answer

72 degree rotation around the orgin

Answer

x axis reflection

Answer

90 degree rotation

Answer

180 degree rotation

Question 23

Which of the following transformation will map the trapezoid onto itself, choose ALL that apply?

Accepted Answer

reflection across the blue line

Answer

x axis reflection

Answer

reflection across green line

Answer

rotation 90 degrees about (2,-1)

Answer

rotation 180 degrees about (2,-1)

Question 24

Which of the following transformation will map the regular pentagon onto itself?

Accepted Answer

216 degree rotation about the origin

Answer

reflection across blue line

Answer

reflection across green line

Answer

108 degree rotation about the origin

Answer

None of the transformation map onto the original penatgon

Question 25

Which transformation will map the rectangle onto itself?

Accepted Answer

540 degree rotation about (-2,1)

Answer

90 degree rotation about (-2,1)

Answer

reflection across the x axis

Answer

reflection across the blue line

Answer

reflection across the x axis

Question 26

Which of the following transformations will NOT map the regular hexagon onto itself?

Accepted Answer

270 degree rotation about the origin

Answer

x axis reflection

Answer

y axis reflection

Answer

180 degree rotation about the origin

Answer

120 degree rotation about the origin

Question 27

Which of the Transformations will map the trapezoid onto itself choose ALL that apply?

Accepted Answer

reflection across the blue line

Answer

180 degree rotation about the origin

Answer

180 degree rotation about (-4.5, 3.5)

Answer

reflection across the green line

Answer

90 degree rotation about (-4.5, 3.5)

Question 28

Which transformation will map the parallelogram onto itself?

Accepted Answer

none of these above

Answer

reflection x axis

Answer

reflection y axis

Answer

refection across the green line

Answer

reflection over the line y=x

Question 29

Select each answer choice that will map the regular polygon onto itself?

Accepted Answer

252 degree rotation

Accepted Answer

180 degree rotation

Accepted Answer

36 degree rotation

Answer

90 degree rotation

Answer

270 degree rotation

Question 30

Select each answer choice that will map the regular polygon onto itself

Accepted Answer

x axis reflection

Accepted Answer

y axis reflection

Answer

reflection across the green line

Answer

none of thee above

Question 31

which transformation will map the regular octagon onto itself?

Accepted Answer

45 degree rotation about the center

Accepted Answer

225 degree rotation about the center

Accepted Answer

270 degree rotation about the center

Answer

30 degree rotation about the center

Answer

120 degree rotation about the center

Question 32

Which transformation will map an image onto itself?

Accepted Answer

A rotation 360^o clockwise

Answer

A translation 3 units right and 3 units up

Answer

A reflection over the y-axis followed by a translation 3 units down

Answer

A dilation followed by a 90^o clockwise rotation

Answer

Not enough information, a figure has to be given!

Question 33

Given C(2, 9), under which reflection is C'(-2, 9)?

Accepted Answer

reflected in the y-axis

Answer

reflected in the x-axis

Answer

reflected in the line x = 2

Answer

reflected in the line y = x

Answer

reflected in the line y = -x

Question 34

Which pair have a line of reflection of x = -2?

Accepted Answer

A & B

Answer

B & C

Answer

G & H

Answer

E & F

Answer

F & D

Question 35

Identify the transformation from C to D. Check ALL that apply

Accepted Answer

270^o Clockwise Rotation

Accepted Answer

90^o Counter-Clockwise Rotation

Answer

90^o Clockwise Rotation

Answer

180^o Rotation

Answer

270^o Counter-Clockwise Rotation

Question 36

How was B translated to B' if B' is at (4, -2)?

Accepted Answer

Translated 2 units to the right and 6 units down

Answer

Reflected over the y-axis

Answer

Translated 2 units to the left and 6 units down

Answer

Translated 2 units to the right

Answer

Reflected over the x-axis

Question 37

Square ABCD is reflected about side BC. Which of the following statements are true?

Accepted Answer

Vertex B is the midpoint of AA'.

Answer

BC is parallel to AA'

Answer

The length of CD' is twice the length of DD'

Answer

Vertex C and C' are located at 2 different points.

Answer

CB is parallel to the points of reflections

Question 38

Which pair have a line of reflection of x = -3?

Accepted Answer

E & F

Answer

A & B

Answer

B & C

Answer

G & H

Answer

D & F

Question 39

Which of the following is NOT a reflection?

Accepted Answer

B & C

Answer

A & B

Answer

G & H

Answer

E & F

Answer

A & E

Question 40

Identify both ways to translate from B to C.

Accepted Answer

<4, 0>

Accepted Answer

(x + 4, y)

Answer

(4, 0)

Answer

<-4, 0>

Answer

(x, y+4)

Question 41

(-3, -1) -- Reflect across the line y=x and translate down 1.

Accepted Answer

(-1, -4)

Answer

(-1, -2)

Answer

(3, 0)

Answer

(-2, -3)

Answer

(-1,-3)

Question 42

(6, -4) -- Dilate by 1/2 and reflect across the origin.

Accepted Answer

(-3, 2)

Answer

(-3, -2)

Answer

(12, -8)

Answer

(-12, 8)

Answer

(2, -3)

Question 43

Which transformation will map an image onto itself?

Accepted Answer

A rotation 360^o clockwise

Answer

A translation 3 units right and 3 units up

Answer

A reflection over the y-axis followed by a translation 3 units down

Answer

A dilation followed by a 90^o clockwise rotation

Answer

Not enough information, a figure has to be given!

Question 44

Which pair of transformations is the same as a reflection across the y-axis

Accepted Answer

a rotation of 180 degrees and a reflection across the x-axis

Answer

a rotation 90 degrees counter-clockwise and a reflection across the x-axis

Answer

a rotation 90 degrees clockwise and a reflection across the y- axis

Answer

a rotation of 180 degrees and a reflection across the y-axis

Answer

a reflection across the line y=x and then a reflection across the line y=-x

Question 45

Which transformation or set of transformations will map a point (x,y) onto the point (2x+1, 2y)

Accepted Answer

a dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit

Answer

a dilation with a scale factor of 2 through the origin followed by a translation of up 1 unit

Answer

a dilation of scale factor 2 through the point (1,0)

Answer

a dilation of scale factor 2 through the point (0,1)

Answer

a dilation of scale factor 1 through the point (2,2)

Question 46

Which sequence of transformations will result from shape F to shape F''? Choose all that apply...

Accepted Answer

Reflection, then rotation

Accepted Answer

Rotation, then a reflection

Answer

Reflection over both axes

Answer

Translation, then reflection

Answer

Rotation, then translation

Question 47

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

Accepted Answer

Reflection over x-axis, then Rotation of 90 Degrees Counterclockwise

Answer

Rotation of 90 Degrees Clockwise, then Reflection over y-axis

Answer

Reflection over y-axis, then Rotation of 90 Degrees Clockwise

Answer

Rotation of 90 Degrees, then Reflection over x-axis

Answer

Reflection over y-axis, then Rotation of 90 Degrees Counterclockwise

Question 48

What is the transformation from Triangle ABC to Triangle A''B''C''?

Accepted Answer

Rotation of 90 Degrees Counter-Clockwise, then reflection over x-axis

Answer

Reflection x-axis, then rotation of 180 Degrees

Answer

Reflection over y-axis, then rotation of 90 Degrees Clockwise

Answer

Rotation of 180 Degrees, then reflection over y-axis

Answer

Rotation of 90 Degrees Clockwise, then reflection over y-axis

Question 49

What type of transformation is this, and what is the rule of the transformation?

Accepted Answer

dilation: (x,y) --> (3x, 3y)

Answer

translation: (x,y) --> (x+3, y+3)

Answer

translation (x,y) -->(2x,2y)

Answer

reflection: (x,y) --> (1/2x, 1/2y)

Answer

dilation: (x,y) --> (x+3, y+3)

Question 50

Which picture shows a TRANSLATION, choose all that apply?

Accepted Answer

Option B is correct

Accepted Answer

Option E is correct

Answer

A.

Answer

C.

Answer

D.

Transformation Non-Rigid

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