Question

11

10

9-

8-

7+

6+

5-

A (2, 3)

4-

3-

2+

1

0

-5-4-3-2-110

-2-

-

1

2

3

4

5

6

7

8

Β' (12, 3)

9

10

11

x

12

-3-

-4-

A' (6, 9)

B(4, 1)

Determine the scale factor used in the dilation of line segment AB, centered at the origin.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the scale factor used in the dilation of line segment AB, we need to find the ratio of the lengths of the dilated line segment to the original line segment.

From the given graph, we can see that the original line segment AB has a length of 10. The dilated line segment AB' has a length of 12 (as given on the graph).

Therefore, the scale factor used in the dilation is found by dividing the length of the dilated line segment by the length of the original line segment:

Scale factor = Length of AB' / Length of AB

Scale factor = 12 / 10

Scale factor = 1.2

So, the scale factor used in the dilation of line segment AB is 1.2.