the triangle tuv is a dilation of the triangle tuv. what is the scale factor of the dilation? simplify your…

the triangle tuv is a dilation of the triangle tuv. 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 triangle tuv is a dilation of the triangle tuv. 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: Identify corresponding side lengths

Let's consider the vertical distance from (T) to (V) and (T') to (V'). The coordinates of (T=(3,1)), (V=(3,6)), so the length of (TV = 6 - 1=5). The coordinates of (T'=(2,1)), (V'=(2,4)), so the length of (T'V'=4 - 1 = 3).

Step2: Calculate the scale - factor

The scale factor (k) of a dilation is given by the ratio of the length of a side in the image to the length of the corresponding side in the pre - image. So (k=\frac{T'V'}{TV}). Substituting the values we found: (k = \frac{3}{5}).

Answer:

(\frac{3}{5})