Question

Multiple Choice

Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints left parenthesis negative 1 comma 2 right parenthesis and left parenthesis 3 comma negative 3 right parenthesis.
(1 point)
Responses

left parenthesis 2 comma 4 right parenthesis and left parenthesis 6 comma 6 right parenthesis
Image with alt text: left parenthesis 2 comma 4 right parenthesis and Image with alt text: left parenthesis 6 comma 6 right parenthesis

left parenthesis negative 2 comma 2 right parenthesis and left parenthesis 6 comma negative 3 right parenthesis
Image with alt text: left parenthesis negative 2 comma 2 right parenthesis and Image with alt text: left parenthesis 6 comma negative 3 right parenthesis

left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 6 comma negative 6 right parenthesis
Image with alt text: left parenthesis negative 2 comma 4 right parenthesis and Image with alt text: left parenthesis 6 comma negative 6 right parenthesis

left parenthesis 2 comma negative 1 right parenthesis and left parenthesis negative 3 comma 3 right parenthesis
Image with alt text: left parenthesis 2 comma negative 1 right parenthesis and Image with alt text: left parenthesis negative 3 comma 3 right parenthesis

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

left parenthesis 2 comma 4 right parenthesis and left parenthesis 6 comma 6 right parenthesis
Image with alt text: (2, 4) and Image with alt text: (6, 6)

Answer 2

Given a scale factor of one-half , find the coordinates for the dilation of the triangle with vertices at (0, 0), (0, 2), and (4, 0).

(1 point)
Responses

(0, 0), (0, 4), (8, 0)
(0, 0), (0, 4), (8, 0)

(0, 0), (0, 1), (2, 0)
(0, 0), (0, 1), (2, 0)

(one-half,one-half), (one-half, 1), (2, one-half)
( Image with alt text: one-half , Image with alt text: one-half ), ( Image with alt text: one-half , 1), (2, Image with alt text: one-half )

(2, 2), (2, 4), (8, 2)
(2, 2), (2, 4), (8, 2)

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

(0, 0), (0, 1), (2, 0)
(0, 0), (0, 1), (2, 0)

Answer 4

The dashed figure is a dilation of the original figure. Find the scale factor. Classify the dilation as an enlargement or a reduction.

(1 point)
Responses

2, enlargement
2, enlargement

one-third , reduction
Image with alt text: one-third , reduction

one-half , reduction
Image with alt text: one-half , reduction

3, enlargement

Answer 5

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

one-half, reduction
Image with alt text: one-half , reduction

Answer 6

What is the scale factor in the following dilation? The smaller triangle is the pre-image.

Two triangles are shown on a grid.The smaller triangle has:
· a vertex two units from the right of the bottom left corner of the grid and one unit up from the bottom of the grid.
· a vertex five units from the right of the bottom left corner of the grid and one unit up from the bottom of the grid.
· a vertex three and one-half units from the right of the bottom left corner of the grid and four units up from the bottom of the grid.
The larger triangle has:
· a vertex four units from the right of the bottom left corner of the grid and two units up from the bottom of the grid.
· a vertex ten units from the right of the bottom left corner of the grid and two units up from the bottom of the grid.
· a vertex seven units from the right of the bottom left corner of the grid and eight units up from the bottom of the grid.
(1 point)
Responses

3
3

The fraction is 1 over 3.
Image with alt text: The fraction is 1 over 3.

2
2

one-half
Image with alt text: one-half

Answer 7

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

The fraction is 1 over 3.
Image with alt text: The fraction is 1 over 3.

Answer 8

bot

why did you get me a 1/4

Answer 9

[AI-generated answer — Bot GPT 3.5]

I apologize for the oversight in my previous response. The correct scale factor for the dilation provided in your question is indeed 1/3. Thank you for pointing that out.