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What is the scale factor of this dilation?

A.) One-half
B.) Two-thirds
C.) Three-fourths
D.) Three-halves

What is the scale factor of this dilation? A.) One-half B.) Two-thirds C.) Three-fourths-example-1
User Asgallant
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2 Answers

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Answer: C) Three-fourths

I.e., the fraction 3/4

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Step-by-step explanation:

Let's pick on the horizontal sides. Divide the image length Y'Z' = 9 over the corresponding preimage length YZ = 12 to get

(Y'Z')/(YZ) = 9/12 = 3/4 which is the scale factor

The scale factor is less than 1, meaning the image's lengths are shorter compared to the preimage's corresponding lengths.

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Alternative Paths:

You can pick any other pair of corresponding sides to get the same result:

  • (X'Y')/(XY) = (7.5)/(10) = 75/100 = 3/4
  • (Z'X')/(ZX) = 6/8 = 3/4
User Vfsoraki
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3 votes

Answer:


scale ~factor= Z'Y'/ZY


=9/12


=3/4=0.75


So ~your~ answer ~will~ be ,~C.) Three-fourths

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hope it helps...

have a great day

User Jeff Wilcox
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4.7k points