The parallelogram B’C’D’E’ is a dilation of the parallelogram BCDE. What is the scale factor of the dilation?
Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.
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To determine the scale factor of the dilation from parallelogram BCDE to parallelogram B’C’D’E’, you can take the ratio of corresponding side lengths of the two parallelograms.
1. Identify corresponding sides: Measure the lengths of a pair of corresponding sides from both parallelograms, for example, BC and B’C’.
2. Calculate the scale factor: Use the formula:
[
text{Scale Factor} = frac{text{Length of B’C’}}{text{Length of BC}}
]
3. Simplify the fraction: If the lengths are given as whole numbers or can be expressed as fractions, simplify the resulting fraction to its simplest form.
For example, if BC is 4 units and B’C’ is 8 units:
[
text{Scale Factor} = frac{8}{4} = 2
]
So the scale factor would be 2.
Make sure to apply your specific measurements, and you will find the scale factor of the dilation! If you have particular lengths for BC and B’C’, I can help you calculate the scale factor directly. Keep going, and check for additional assistance if needed!