Question

Pentagon A' B' C' D' E' is the image of pentagon ABCDE after a dilation centered at F. What is the scale factor of this dilation?

A. 5/3
B. 10/3
C. 3/5
D. 3/10

Answer 1

Answer:

The correct option is;

A. 5/3

Step-by-step explanation:

The given parameters from the diagram are;

The length of the sides of pentagon ABCDE are;

BA = 3, BC = 6, CD = 3, DE = 3, AE = 6

The length of the sides of pentagon ABCDE are;

B'A' = 5, B'C' = 10, C'D' = 5, D'E' = 5, A'E' = 10

Therefore, the scale factor is given as follows;

The scale factor = B'A'/BA =  B'C'/BC = C'D'/CD = D'E'/DE = A'E'/AE = 10/6 = 5/3

The scale factor = 5/3

Answer 2

The correct option is;A. 5/3

• The calculation is as follows:

The given parameters from the diagram are;

The length of the sides of pentagon ABCDE are;

BA = 3, BC = 6, CD = 3, DE = 3, AE = 6

The length of the sides of pentagon ABCDE are;

B'A' = 5, B'C' = 10, C'D' = 5, D'E' = 5, A'E' = 10

Now the scale factor is

= B'A'/BA =  B'C'/BC = C'D'/CD = D'E'/DE = A'E'/AE

= 10/6

= 5/3

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