Quiz about Transformations in Geometry

Question 1

How many degrees was the figure rotated?

Accepted Answer

90 degrees clockwise

Answer

90 degrees counterclockwise

Answer

180 degrees

Question 2

The image A'B'C' is a rotation of ABC.

Accepted Answer

False

Answer

True

Question 3

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Accepted Answer

Translated 8 units down and 5 units to the right

Answer

Translated 5 units down and 5 units to the right

Answer

Translated 5 units down and 1 to the right

Answer

Translated 5 units down and 4 units to the right

Question 4

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or direction.

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 5

If the dotted figure is the image, the original figure was reflected over the ...

Accepted Answer

x-axis

Answer

y-axis

Question 6

If the dotted figure is the image, the original figure was reflected over the ...

Accepted Answer

y-axis

Answer

x-axis

Question 7

You want to reflect a figure over the horizontal line shown.
What directions would you give?
Reflect over the line: ________

Accepted Answer

y = -4

Answer

x = -4

Answer

x-axis

Answer

None of these

Question 8

Which answer shows a reflection across the x-axis?

Accepted Answer

c

Answer

d

Answer

b

Answer

a

Question 9

Reflect (6, -3) over the line x-axis.

Accepted Answer

(6, 3)

Answer

(-6, -3)

Answer

(-3, 6)

Answer

(3, -6)

Question 10

Reflect the point (2, -4) over the y-axis.

Accepted Answer

(-2, -4)

Answer

(-4, 2)

Answer

(-2, 4)

Answer

(2, 4)

Question 11

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

Accepted Answer

slide right 2, down 3

Answer

slide up 2, left 3

Answer

slide right 2, up 3

Answer

slide left 3, right 2

Question 12

Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?

Accepted Answer

(7, 1)

Answer

(6, 3)

Answer

(7, 3)

Answer

(5, 3)

Question 13

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 14

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

An enlargement

Answer

A reduction

Answer

Neither an enlargement or a reduction

Question 15

Identify the transformation from A to B.

Accepted Answer

270^o clockwise Rotation

Answer

90^o Clockwise Rotation

Answer

180^o Rotation

Answer

360^o Rotation

Question 16

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 17

Identify the transformation from C to D.

Accepted Answer

90^o Counter Clockwise Rotation

Answer

180^o Rotation

Answer

270^o Counter clockwise Rotation

Answer

360^o Rotation

Question 18

Determine how to translate triangle ABC to triangle A'B'C'.

Accepted Answer

(x-2, y+9)

Answer

(x-2, y+5)

Answer

(x+2, y-9)

Answer

(x-9, y+2)

Question 19

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 20

Dilate Point A by a scale factor of 1/2

Accepted Answer

(-1,-1)

Answer

(-4,-4)

Answer

(-1,-4)

Answer

(-2,-2)

Question 21

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 22

Which of these transformations changes the size of the shape?

Accepted Answer

None of the Above

Answer

Reflection

Answer

Rotation

Answer

Translation

Question 23

What is the name of the transformed shape?

Accepted Answer

image

Answer

picture

Answer

key

Answer

prime

Question 24

How do you mark the transformed shape?

Accepted Answer

prime

Answer

tick

Answer

comma

Answer

period

Question 25

A dilation is

Accepted Answer

a transformation that changes the size of a figure

Answer

Has a central point that stays fixed and everything else moves around that point

Answer

a transformation in which the preimage is flipped across a line

Answer

a function that moves an object a certain distance. The object is not altered in any other way.

Question 26

A rotation

Accepted Answer

Has a central point that stays fixed and everything else moves around that point

Answer

a transformation that changes the size of a figure

Answer

a transformation in which the preimage is flipped across a line

Answer

a function that moves an object a certain distance. The object is not altered in any other way.

Question 27

A reflection

Accepted Answer

a transformation in which the preimage is flipped across a line

Answer

Has a central point that stays fixed and everything else moves around that point

Answer

a transformation that changes the size of a figure

Answer

a function that moves an object a certain distance. The object is not altered in any other way.

Question 28

A translation

Accepted Answer

a function that moves an object a certain distance. The object is not altered in any other way.

Answer

Has a central point that stays fixed and everything else moves around that point

Answer

a transformation that changes the size of a figure

Answer

a transformation in which the preimage is flipped across a line

Question 29

Which shows point (3, 6) rotated CLOCKWISE by 90 degrees?

Accepted Answer

(6, -3)

Answer

(-6, 3)

Answer

(-3, -6)

Answer

((3, 6)

Question 30

Which shows point (3, 6) rotated COUNTER-CLOCKWISE by 90 degrees?

Accepted Answer

(-6, 3)

Answer

(6, -3)

Answer

(-3, -6)

Answer

(3, 6)

Question 31

Which transformation is the only transformation that does NOT preserve size?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 32

True or False: all transformations except for dilations keep the figures congruent.

Accepted Answer

TRUE

Answer

FALSE

Question 33

What is the scale factor of this enlargement?

Accepted Answer

4

Answer

1/2

Answer

1/4

Answer

2

Question 34

What is the scale factor of this enlargement?

Accepted Answer

2

Answer

1/2

Answer

1/4

Answer

4

Question 35

What is the scale factor of this reduction?

Accepted Answer

1/2

Answer

1/4

Answer

2

Answer

4

Question 36

What is the scale factor of this reduction?

Accepted Answer

1/4

Answer

1/2

Answer

2

Answer

4

Question 37

When you translate, (x,y+6) will move _____.

Accepted Answer

6 units up

Answer

6 units right

Answer

6 units left

Answer

6 units down

Question 38

A triangle is dilated by a scale factor of 4 and then translated left 2 units and up 3 units. Which statement is true about the image and the pre-image?

Accepted Answer

The pre-image and image are similar, but not congruent to one another.

Answer

The pre-image and image are congruent and similar to one another.

Answer

The pre-image and image are neither congruent nor similar to one another.

Answer

The pre-image and image are congruent, but not similar to one another.

Question 39

When a figure is dilated, its image is ?????.

Accepted Answer

Similar

Answer

Congruent

Answer

Not Here

Question 40

Point (6,7) is translated according to the algebraic representation (rule) (x,y) --> (x-2,y+3).  Where is the point located now?

Accepted Answer

(4,10)

Answer

(8,10)

Answer

(4,4)

Answer

(8,4)

Question 41

When you dilate, you ______ x and y by a number.

Accepted Answer

Multiply

Answer

Add

Answer

Subtract

Answer

Divide

Question 42

Congruent geometric figures have the:

Accepted Answer

Same Size and Same Shape

Answer

Same size

Answer

Sides Equal

Answer

Angles Equal

Question 43

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 44

Reflect (6, -3) over the line x-axis.

Accepted Answer

(6, 3)

Answer

(-6, -3)

Answer

(-3, 6)

Answer

(3, -6)

Question 45

Reflect Point C over the y-axis:

Accepted Answer

(-3, 2)

Answer

(3,2)

Answer

(-2,3)

Answer

(3,0)

Question 46

The original figure prior to a transformation.

Accepted Answer

Pre-image

Answer

Image

Question 47

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

Accepted Answer

slide right 2, down 3

Answer

slide up 2, left 3

Answer

slide right 2, up 3

Answer

slide left 3, right 2

Question 48

Write the rule for this translation:
Slide 3 up and 2 right

Accepted Answer

(x, y)-----> (x+2, y + 3)

Answer

(x, y)---->(x + 3, y + 2)

Answer

(x, y)----> (x - 2, y + 3)

Question 49

Point M (-3, 5) is translated using this rule.
(x, y) ----> (x - 1, y)
What are the coordinates of M'?

Accepted Answer

(-4, 5)

Answer

(-2, 5)

Answer

(-4, 4)

Answer

None of these

Question 50

Will the following transformations result in a congruent or similar figure?
1. Rotation 90 degrees, clockwise, center at point C
2. Dilation with scale factor of 1/2, center at (-1, -2)

Accepted Answer

Similar

Answer

Congruent

Question 51

Will the following transformations result in a congruent or similar figure?
1. Reflection over the line x = -3
2. Rotation of 180 degrees, center at (4, 5)

Accepted Answer

Congruent

Answer

Similar

Question 52

Question 52.

Accepted Answer

Reflections

Answer

Translations

Answer

Reflections and Rotations

Answer

Translations and Rotations

Question 53

What is the sequence of transformations for the image given?

Accepted Answer

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

Answer

Reflect over the x-axis, translate (x+8,y)

Answer

Reflect over the y-axis then (x+1, y+1)

Answer

Translate down 4 (y-4) and to the right 5 (x+5)

Question 54

Which of the following would represent a dilation with a scale factor of 2.5?

Accepted Answer

enlargement

Answer

reduction

Question 55

Which of the following would represent a dilation with a scale factor of 0.5?

Accepted Answer

reduction

Answer

enlargement

Question 56

Which of the following would represent a translation of 6 units to the left and 4 units up?

Accepted Answer

(x,y) --> (x - 6, y + 4)

Answer

(x,y) --> (x + 6, y - 4)

Answer

(x,y) --> (6x, 4y)

Answer

(x,y) --> (x + 4, y - 6)

Answer

(x,y) --> (y + 4, x - 6)

Question 57

Which of the following would represent a translation of 8 units down and 2 units to the right?

Accepted Answer

(x,y) --> (x + 2, y - 8)

Answer

(x,y) --> (x - 2, y + 8)

Answer

(x,y) --> (2x, 8y)

Answer

(x,y) --> (x - 8, y + 2)

Answer

(x,y) --> (y - 8, x + 2)

Question 58

Which of the following would represent a dilation with a scale factor of 2.5?

Accepted Answer

(x,y) --> (2.5x, 2.5y)

Answer

(x,y) --> (2.5y, 2.5x)

Answer

(x,y) --> (x + 2.5, y + 2.5)

Answer

(x,y) --> (-2.5x, -2.5y)

Question 59

Which of the following would represent a dilation with a scale factor of 0.5?

Accepted Answer

(x,y) --> (0.5x, 0.5y)

Answer

(x,y) --> (0.5y, 0.5x)

Answer

(x,y) --> (x + 0.5, y + 0.5)

Answer

(x,y) --> (-0.5x, -0.5y)

Question 60

Translation are always _______

Accepted Answer

Congruent

Answer

Bigger

Answer

Smaller

Answer

Rotated

Question 61

Translation are always _______

Accepted Answer

Congruent

Answer

Bigger

Answer

Smaller

Answer

Rotated

Question 62

A dilation produces a congruent figure

Accepted Answer

False

Answer

True

Answer

D

Question 63

A dilation produces a similar figure

Accepted Answer

True

Answer

False

Question 64

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

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