Quiz about Scale Factor and Dilations

Question 1

Did the image enlarge, reduce or none of the above?

Accepted Answer

Reduce

Answer

Enlarge

Answer

None of the above

Question 2

What scale factor was used to produce the image?

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 3

What scale factor was used to produce the image?

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

1

Question 4

What scale factor was used to produce the image?

Accepted Answer

1.5

Answer

2.5

Answer

3.5

Answer

4

Question 5

In a dilation what mathematical operation is used with the scale factor?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 6

A scale factor of less than one means

Accepted Answer

That the image will be a reduction of the pre-image.

Answer

that the image will be larger than the pre-image.

Answer

That the image will be the same as the pre-image.

Answer

That you need to subtract that amount off  of each side.

Question 7

Which of the following transformation will result in an image that is similar, but not congruent, to its original image?

Accepted Answer

dilatation

Answer

translation

Answer

reflection

Answer

rotation

Question 8

Under the dilatation with scale factor of 1/4, the transformed image is enlarged.

Accepted Answer

False

Answer

True

Question 9

Two triangles are similar. Which can be stated?

Accepted Answer

The corresponding angles are congruent

Answer

The corresponding sides are congruent.

Answer

The corresponding sides are parallel

Answer

The corresponding angles are proportional

Question 10

What is the value of X?

Accepted Answer

X=2

Answer

X=4

Answer

X=6

Answer

X=3

Question 11

All corresponding angles are congruent in similar figures.

Accepted Answer

True

Answer

False

Question 12

All corresponding sides are proportional (same ratio) in similar figures.

Accepted Answer

True

Answer

False

Question 13

The two rectangles are scale drawings. What is the measurement of x?

Accepted Answer

20

Answer

21

Answer

1.25

Answer

4

Question 14

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 15

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 16

Matching sides are called

Accepted Answer

Corresponding Sides

Answer

Corresponding Angles

Answer

The Same

Answer

Congruent Sides

Question 17

Find the perimeter of the large triangle.

Accepted Answer

36

Answer

24

Answer

12

Answer

54

Question 18

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

Accepted Answer

x = 16.5 cm

Answer

x = 19 cm

Answer

x = 24 cm

Answer

x = 3 cm

Question 19

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

Accepted Answer

32 feet

Answer

24 feet

Answer

21 feet

Answer

27 feet

Question 20

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

Accepted Answer

No, not similar because they are the same shape, but side lengths are not proportional.

Answer

Yes, similar because they are the same shape and side lengths are proportional.

Answer

Yes, same shape

Answer

No, different sizes

Question 21

Two figures are congruent if they have the _______ shape and _______ size.

Accepted Answer

Same, Same

Answer

Different, Same

Answer

Same, Different

Answer

Different, Different

Question 22

Two figures can be similar if they have the _______ shape but _______ size.

Accepted Answer

Same, Different

Answer

Different, Same

Answer

Same, Same

Answer

Different, Different

Question 23

When a dilation has a scale factor greater than one, the dilation is an enlargement.

Accepted Answer

True

Answer

False

Question 24

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

Accepted Answer

True

Answer

False

Question 25

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 26

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

Accepted Answer

(-3, 3)

Answer

(-12, 12)

Answer

(-2, 2)

Question 27

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Accepted Answer

Figure B

Accepted Answer

Figure D

Answer

Figure C

Question 28

Which shapes are similar?

(Click on the two you think are similar)

Accepted Answer

ABC

Accepted Answer

FED

Answer

IHG

Question 29

The following triangles are Similar

Accepted Answer

FALSE

Answer

TRUE

Question 30

Two objects that are the same shape but NOT the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 31

choose the shapes that create a dilation.

(CHOOSE ALL THAT APPLY)

Accepted Answer

Figure 2

Accepted Answer

Figure 3

Answer

Figure 1

Answer

Figure 4

Question 32

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

Accepted Answer

Triangle A'B'C' is a reduction of triangle ABC

Answer

Triangle A'B'C' is an enlargement of triangle ABC

Answer

Triangle A'B'C' is a mirror image of triangle ABC

Question 33

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 5

Answer

x = 20

Answer

x = 12

Answer

x = 4

Question 34

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 35

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 36

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 37

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 38

A dilation produces a congruent figure

Accepted Answer

False

Answer

True

Question 39

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

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 40

What scale factor was used to produce the image?

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

1

Question 41

If your SF = 0.8, what type of dilation is it?

Accepted Answer

Reduction

Answer

Enlargement

Question 42

If your SF = 6/5, what type of dilation is it?

Accepted Answer

Enlargement

Answer

Reduction

Question 43

Definition: The figure after a transformation has occurred.

Accepted Answer

Image

Answer

Pre-image

Answer

Translation

Answer

Reflection

Question 44

Which picture shows two figures that are NOT similar?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Question 45

Which of the following triangles is similar to the triangle below?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 46

What is the scale factor of the dilation below?

Accepted Answer

4

Answer

5

Answer

3

Answer

1/4

Question 47

Which transformations have to happen to prove that the two figures below are similar?

Accepted Answer

Dilation

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 48

Which transformations have to happen to prove that the two figures below are similar?

Accepted Answer

Dilation

Accepted Answer

Rotation

Accepted Answer

Translation

Answer

Reflection

Question 49

Are the two figures similar? Which answer gives the BEST reasoning? (The larger figure NOPQ is the IMAGE)

Accepted Answer

Yes, there is a Scale Factor of 6/5 or 1.2

Answer

Yes, there is a Scale Factor of 5/6 of 0.8333...

Answer

No, the side lengths are not the same size.

Answer

No, the angles are different

Question 50

Which triangle is similar to PQR?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 51

In the figure, the two rectangles are similar. If x = 10, y = 15 and a = 6 , what is the value of b?

Accepted Answer

9

Answer

25

Answer

18

Answer

21

Scale Factor and Dilations

57 questions

Did the image enlarge, reduce or none of the above?

What scale factor was used to produce the image?

What scale factor was used to produce the image?

What scale factor was used to produce the image?

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

In a dilation what mathematical operation is used with the scale factor?

A scale factor of less than one means

Which of the following is the algebraic representation for a dilation?

Which of the following transformation will result in an image that is similar, but not congruent, to its original image?

Under the dilatation with scale factor of 1/4, the transformed image is enlarged.

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