Question

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?

Answer 1

Segment AB was dilated by scale factor 3.

Explanation:

The person above is correct tahnk you!!!

Answer 2

As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.

Answer:

we conclude that the segment AB was dilated by scale factor 3.

Explanation:

From the diagram, it is clear that the original points A and B are located

at (0, 2) and (2, 3) respectively.

i.e.

• A(0, 2)

• B(2, 3)

As the coordinates of the dilated segment A'B' are given as:

• A'(0, 6)

• B'(6, 9)

A scale factor is basically a number that multiplies an object or quantity.

For instance, the 'D' in
`y = Dx` is the scale factor for x.

If the equation were y = 7x, then the factor would have been 5.

As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).

i.e.

A(0, 2) → (0×3, 2×3) = A'(0, 6)

B(2, 3) → (2×3, 3×3) = B'(6, 9)

Therefore, we conclude that the segment AB was dilated by scale factor 3.