Question

the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.

Answer 1

see explanation

Explanation:

1. Measure these lengths:

OA - 2.0 units

OA' - 3.0 units

2. Measure these lengths:

OB - 3.0

OB' - 4.5

3. Measure these length's:

AB - 2.2

AB' - 3.3

4. Calculate the ration: OA' / OA = 1.5

5. Calculate this ratio: OB' / OB = 1.5

6. Calculate this ratio: A'B' / AB = 1.5

Answer 2

The scale factor is 1.5

Explanation:

In the picture attached, the line AB is shown.

The first 3 steps are to measure some lengths

1. OA = 2 units OA’ = 3 units
2. OB = 3 units OB’ = 4.5 units
3. AB = 2.2 A’B’= 3.3

The last 3 steps are to compute these ratios

1. OA'/OA = 3/2 = 1.5
2. OB'/OB = 4.5/3 = 1.5
3. A'B'/AB = 3.3/2.2 = 1.5