The rectangle Q’R’S’T’ is a dilation of the rectangle QRST. 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 rectangle Q’R’S’T’ is a dilation of the rectangle QRST. 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 rectangle QRST to rectangle Q’R’S’T’, you need to compare the corresponding side lengths of the two rectangles.
1. Identify Corresponding Sides: Measure the lengths of one pair of corresponding sides from both rectangles. For instance, if the length of side QR is 4 units and the length of side Q’R’ is 8 units.
2. Calculate the Scale Factor: The scale factor (k) can be calculated using the formula:
[
k = frac{text{length of Q’R’}}{text{length of QR}}
]
Using our example:
[
k = frac{8}{4} = 2
]
3. Express the Scale Factor: The scale factor here would be 2, which indicates that rectangle Q’R’S’T’ is twice as large as rectangle QRST.
Make sure to substitute the actual side lengths you have for accurate results. If you provide those, I can help calculate the scale factor specifically!