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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?

A. 1/2


B. 2


C. 3


D. 4

1 Answer

4 votes

Answer:

The answer is "Option C"

Explanation:

Given:

point A' and B' are: (0, 6) (6, 9)

To above points we calculate point AB that is (0,2) and (2,3)

Distance formula:


\bold{D=√((x_2-x_1)^2+(y_2-y_1)^2)}\\

calcuate AB point distance:


x_1=0\\y_1=2\\x_2=2\\y_2=3


D=√((2-0)^2+(3-2)^2)


=√(2^2+1^2)\\\\=√(4+1)\\\\=√(5)\\

calculating A'B' point distance:


x_1=0\\y_1=6\\x_2=6\\y_2=9\\


D=√((6-0)^2+(9-6)^2)


= √((6)^2+(3)^2)\\\\= √(36+9)\\\\= √(45)\\\\= √(3* 3* 5)\\\\= 3√(5)\\\\

If we divide:


=(3√(5))/(√(5))\\\\=3

The final answer is "3".

User Kigawas
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