the trapezoid vwxy is a dilation of the trapezoid vwxy. what is the scale factor of the dilation? simplify…
the trapezoid vwxy is a dilation of the trapezoid vwxy. 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.
Answer
Explanation:
Step1: Select corresponding sides
Let's consider side $VW$ and $V'W'$. The coordinates of $V(-2,-4)$ and $W(2,-4)$, so the length of $VW=\vert2 - (-2)\vert=4$. The coordinates of $V'(-6,-10)$ and $W'(6,-10)$, so the length of $V'W'=\vert6-(-6)\vert = 12$.
Step2: Calculate scale - factor
The scale factor $k$ of a dilation is given by the ratio of the length of the corresponding side of the dilated figure to the length of the corresponding side of the original figure. So $k=\frac{V'W'}{VW}=\frac{12}{4}=3$.
Answer:
3