The trapezoid T’U’V’W’ is a dilation of the trapezoid TUVW. 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.
The trapezoid T’U’V’W’ is a dilation of the trapezoid TUVW. 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 find the scale factor of the dilation from trapezoid TUVW to trapezoid T’U’V’W’, you need to compare the lengths of corresponding sides of the two trapezoids. The scale factor (k) can be calculated using the formula:
[
k = frac{text{Length of a side in T’U’V’W’}}{text{Length of the corresponding side in TUVW}}
]
Follow these steps:
1. Select a pair of corresponding sides (e.g., TU and T’U’).
2. Measure or find the lengths of these sides.
3. Plug the lengths into the formula to calculate the scale factor.
For example, if TU = 4 and T’U’ = 8, then:
[
k = frac{8}{4} = 2
]
This means the scale factor is 2.
Make sure to apply this method to the actual lengths of the trapezoids you have. If the lengths are provided, follow the same steps, and simplify your answer as needed. If you need more help with detailed calculations, feel free to ask!