Quiz about Geometry Dilations

Question 1

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 2

Tell whether the transformation is a dilation. Explain.

Accepted Answer

Yes, scale factor is the same.

Answer

No, scale factor isn't the same.

Question 3

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 4

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 5

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 6

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 7

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?

Accepted Answer

green triangle

Answer

red triangle

Answer

black triangle

Answer

none of these

Question 8

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 9

What is the definition of dilations ,in mathematical terms?

Accepted Answer

to make larger or smaller

Answer

to make larger

Answer

none of the above

Answer

to make smaller

Question 10

A dilation can produce a smaller figure also known as a ______

Accepted Answer

reduction

Answer

enlargement

Answer

scale factor

Answer

center of dilation

Question 11

A dilation can produce a larger figure also known as a ______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 12

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No

Question 13

A segment has a endpoints  W(-2,4), and X(1,4). Find the  coordinates of the figure after a dilation with a scale factor of 2.

Accepted Answer

W'(-4,8),  X'(2,8)

Answer

W'(-2,8), X'(1,8)

Answer

W'(-1,2), X'(0.5,2)

Answer

W'(0,6), X'(-1,2)

Question 14

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No, it's a distortion

Answer

Not enough information

Answer

No, it's a translation

Question 15

Does the image show a dilation?

Accepted Answer

No, it's a reflection

Answer

Yes

Answer

Not enough information

Answer

No, it's a rotation

Question 16

If k=1.25 (k is scale factor), then a dilation will result in a(n)______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 17

If k=-2 (k is scale factor), then a dilation will result in a(n)______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 18

If k=-1 (k is scale factor), then a dilation will result in a______

Accepted Answer

congruent figure

Answer

similarity reflection

Answer

reduction

Answer

translation

Question 19

A dilation is defined by what?

Accepted Answer

A center of dilation and a scale factor

Answer

A ratio of similarity

Answer

A rotation, if k < 0

Answer

Same size and shape

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

The figure after a transformation has occurred is called the _______.

Accepted Answer

image

Answer

pre-image

Answer

translation

Answer

reflection

Question 22

The figure before a transformation has occurred is called the ______.

Accepted Answer

pre-image

Answer

image

Answer

translation

Answer

reflection

Question 23

Given: (x, y) -> (2x, 2y) What do the
2's mean?

Accepted Answer

scale factor is 2, making a figure twice the
original

Answer

plot 2 to the right and 2 up

Answer

scale factor is 2, creating a new figure half the size

Answer

I don't understand this question : (

Question 24

A positive scale factor of less than one and greater than 0 means

Accepted Answer

That the image will be a reduction of the preimage.

Answer

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

Answer

That the image will be the same as the preimage.

Answer

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

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