Quiz about Dilations Tiffany Selz

Question 1

What is the scale factor if the triangle on the left is the original?

Accepted Answer

1/2

Answer

2

Answer

3/2

Answer

2/3

Question 2

What is the scale factor used to dilate the small square to the larger square given there areas?

Accepted Answer

4

Answer

16

Answer

3

Answer

12

Question 3

A dilation can produce a smaller figure or a(n)______

Accepted Answer

reduction

Answer

enlargement

Answer

scale factor

Answer

center of dilation

Question 4

If the scale factor is greater than 1, the dilation is...

Accepted Answer

an enlargement

Answer

a rotation

Answer

a translation

Answer

a reduction

Question 5

A dilation takes a line segment of length 8 units to a line segment of length 12 units. What is the scale factor of this dilation?

Accepted Answer

1.5

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{2}$$

Answer

2

Question 6

If a square has side lengths of 6 units and it is dilated by a scale factor of 3, what will be the length of each side of the resulting square?

Accepted Answer

18 units

Answer

9 units

Answer

3 units

Answer

12 units

Question 7

A triangle has vertices at $$(1, 2)$$ , $$(4, 2)$$ , and $$(1, 5)$$ . If the triangle is dilated with a scale factor of 2 centered at the origin, what are the coordinates of the new vertices?

Accepted Answer

$$(2, 4)$$ , $$(8, 4)$$ , and $$(2, 10)$$

Answer

$$(2, 4)$$ , $$(8, 4)$$ , and $$(4, 10)$$

Answer

$$(2, 4)$$ , $$(8, 4)$$ , and $$(2, 5)$$

Answer

$$(2, 4)$$ , $$(4, 4)$$ , and $$(2, 10)$$

Question 8

A dilation is...

Accepted Answer

Either an enlargement or a reduction

Answer

An enlargement

Answer

A reduction

Answer

Neither an enlargement or a reduction

Question 9

What happens to the coordinates of a point $$(x, y)$$ after a dilation with a scale factor of 5 centered at the origin?

Accepted Answer

The coordinates become $$(5x, 5y)$$ .

Answer

The coordinates become $$(x+5, y+5)$$ .

Answer

The coordinates become $$(\frac{x}{5}, \frac{y}{5})$$ .

Answer

The coordinates become $$(x^5, y^5)$$ .

Question 10

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 11

A dilation with a scale factor of $$k$$ centered at the origin transforms the point $$(3, 4)$$ to $$(9, 12)$$ . What is the value of $$k$$ ?

Accepted Answer

3

Answer

2

Answer

4

Answer

6

Question 12

A rectangle is dilated by a scale factor of 3. If the original rectangle had dimensions 2 units by 7 units, what are the dimensions of the dilated rectangle?

Accepted Answer

6 units by 21 units

Answer

5 units by 17 units

Answer

6 units by 10 units

Answer

3 units by 10 units

Question 13

If a dilation centered at the origin maps point $$(4, 6)$$ to $$(12, 18)$$ , what is the scale factor of the dilation?

Accepted Answer

3

Answer

2

Answer

4

Answer

6

Question 14

Does the image show a dilation?

Accepted Answer

No

Answer

Yes

Question 15

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 16

What is the scale factor if the smaller rectangle is the original rectangle?

Accepted Answer

4

Answer

25

Answer

5

Answer

6

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