Quiz about Geometric Transformations Diagnostic

Question 1

Name the transformation.

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 2

When you translate, you ______ a number to x and y.

Accepted Answer

Add or subtract

Answer

Multiply or divide

Answer

Add or multiply

Answer

Subtract or divide

Question 3

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 4

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

Question 5

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

Accepted Answer

Translation

Answer

Reflection across the y-axis

Answer

Reflection across the x-axis

Answer

90^o counter clockwise Rotation

Question 6

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

Accepted Answer

(6,5)

Answer

(-5,-6)

Answer

(5,-6)

Answer

(-6,5)

Question 7

Identify the transformation from A to D.

Accepted Answer

90^o Clockwise Rotation

Answer

180^o Rotation

Answer

270^o Clockwise Rotation

Answer

360^o Rotation

Question 8

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)

Question 9

Which of the following describes the sequence of transformations shown?

Accepted Answer

Translate up and then rotate 90 degrees about the origin.

Answer

Reflect across the x-axis and then rotate -90 degrees around the origin

Answer

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

Answer

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

Question 10

What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?

Accepted Answer

Translation, then Reflection, then Rotation

Answer

Rotation, then Dilation, then Reflection

Answer

Reflection, then
Dilation, then Rotation

Answer

Dilation, then Translation, then Reflection

Question 11

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)

Question 12

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

Question 13

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

Question 14

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

Question 15

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

Accepted Answer

Translation, then Reflection

Answer

Rotation, then Rotation

Answer

Rotation, then Dilation

Answer

Reflection, then Rotation

Question 16

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

Question 17

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

Question 18

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 19

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.

Question 20

How many lines of symmetry does this shape have?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 21

How many lines of symmetry does this shape have?

Accepted Answer

2

Answer

0

Answer

1

Answer

4

Question 22

How many lines of symmetry does this shape have?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 23

What are the angles of rotation for an octagon?

Accepted Answer

multiples of 45

Answer

multiples of 51.4

Answer

multiples of 60

Answer

multiples of 72

Question 24

What is(are) the angle(s) of rotation needed to rotate this octagon onto itself?

Accepted Answer

both a and b

Answer

45, 135

Answer

90, 180

Answer

none of the above

Question 25

The rule for dilation is
(x, y) --> _

Accepted Answer

(kx, ky)

Answer

(x, -y)

Answer

(-x, y)

Answer

(x+a, y+b)

Question 26

The rule for reflection over the x-axis is
(x, y) --> _

Accepted Answer

(x, -y)

Answer

(-x, y)

Answer

(y, x)

Answer

(-y, -x)

Question 27

The rule for reflection over the y-axis is
(x, y) --> _

Accepted Answer

(-x, y)

Answer

(x, -y)

Answer

(y, x)

Answer

(-y, x)

Question 28

The rule for rotation of 90 degrees counterclockwise is
(x, y) --> _

Accepted Answer

(-y, x)

Answer

(y, -x)

Answer

(x, -y)

Answer

(-x, y)

Question 29

The rule for rotation of 180 degrees is
(x, y) --> _

Accepted Answer

(-x, -y)

Answer

(-y, x)

Answer

(y, -x)

Answer

(-y, -x)

Question 30

The rule for rotation of 270 degrees counterclockwise is
(x, y) --> _

Accepted Answer

(y, -x)

Answer

(y, x)

Answer

(-y, x)

Answer

(x, -y)

Question 31

The rule for rotation of 90 degrees clockwise is
(x, y) --> _

Accepted Answer

(y, -x)

Answer

(-y, x)

Answer

(x, -y)

Answer

(-x, y)

Question 32

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

Accepted Answer

isometry

Answer

reflections

Answer

rotations

Answer

dilation

Question 33

Which is NOT an Isometry?

Accepted Answer

Dilation

Answer

Relection

Answer

Rotation

Answer

Translation

Question 34

A rigid motion creates figures that are ____________.

Accepted Answer

congruent

Answer

different sizes

Answer

similar

Answer

larger

Question 35

Which transformation is NOT a rigid motion (the size changes)?

Accepted Answer

dilation

Answer

reflection

Answer

rotation

Answer

translation

Question 36

A rigid motion ...

Accepted Answer

preserves size and shape

Answer

preserves size and location

Answer

preserves shape and location

Answer

makes the figure larger

Question 37

Which transformation will map the right triangle onto itself?

Accepted Answer

none of the above choices

Answer

90 degree rotation

Answer

180 degree rotation

Answer

270 degree rotation

Question 38

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

Accepted Answer

y axis reflection

Answer

x axis reflection

Answer

90 degree rotation

Answer

180 degree rotation

Question 39

Which of the following transformation will map the trapezoid onto itself?

Accepted Answer

reflection across the blue line

Answer

x axis reflection

Answer

reflection across green line

Answer

rotation 90 degrees about (2,-1)

Question 40

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

Question 41

Which of the following transformation will map the trapezoid onto itself?

Accepted Answer

reflection across the blue line

Answer

90 degree rotation about the center point

Answer

180 degree rotation about the center point

Answer

270 degree rotation about the center point

Question 42

Which transformation will map the rectangle onto itself?

Accepted Answer

180 degree rotation about the center point

Answer

90 degree rotation about the center point

Answer

reflection across the x axis

Answer

reflection across the bue line

Question 43

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

reflection over the blue line

Question 44

Which Transformation will map the trapezoid onto itself?

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

Question 45

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

Question 46

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 47

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 48

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 49

Which transformation will map the figure onto itself?

Accepted Answer

180 degree rotation about the center

Answer

90 degree rotation about the center

Answer

270 degree rotation about the center

Answer

none of the above

Question 50

Which of the following will map the figure onto itself?

Accepted Answer

none of the above

Answer

90 degree rotation about the center point

Answer

180 degree rotation about the center point

Answer

270 degree rotation about the center point

Question 51

Which of the following regular polygons would not be mapped onto itself by a 180 degree rotation about its center?

Accepted Answer

Pentagon

Answer

Square

Answer

Hexagon

Answer

Octagon

Question 52

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

Question 53

When performing 2 reflections over parallel lines (as shown in the diagram) what is the resultant transformation?

Accepted Answer

1 Translation

Answer

1 Reflection

Answer

1 Rotation

Answer

1 Dilation

Question 54

When performing 2 reflections over non-parallel lines (as shown in the diagram) what is the resultant transformation?

Accepted Answer

1 Rotation

Answer

1 Reflection

Answer

1 Translation

Answer

1 Dilation

Question 55

Which answers are showing a reflection?

Accepted Answer

c and d

Answer

a and c

Answer

b and c

Answer

a and d

Question 56

Question 56.

Accepted Answer

A

Answer

D

Answer

B

Answer

C

Geometric Transformations Diagnostic

67 questions

Name the transformation.

When you translate, you ______ a number to x and y.

Write a rule for the translation.

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

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

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

Identify the transformation from A to D.

Which rule would dilate shows a scale factor of 4

What is the rule for the dilation pictured below?

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?

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Geometric Transformations Diagnostic

67 questions

Name the transformation.

When you translate, you ______ a number to x and y.

Write a rule for the translation.

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

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

Apply the following rule to the point (-5,6):(x,y)-->(y,-x)

Identify the transformation from A to D.

Which rule would dilate shows a scale factor of 4

What is the rule for the dilation pictured below?

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?

Create a free account and access millions of resources

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Discover more resources for Mathematics

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)