Question

the figure on the right is a scaled copy of the figure on the left, though it might have also been rotated. answer attempt 2 out of 3 which side in the figure on the right corresponds to segment ut? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

Since the right - hand figure is a scaled copy of the left - hand figure, we match the vertices in the same relative position. Segment $UT$ corresponds to segment $QP$ as the figures are similar and the vertices are in corresponding order.

Step2: Determine scale factor

Let's assume we can measure the lengths of corresponding sides. If we measure the length of $UT$ and $QP$, say the length of $UT = l_1$ and the length of $QP=l_2$. The scale factor $k=\frac{l_2}{l_1}$. For example, if $UT = 4$ units and $QP = 2$ units, then $k=\frac{2}{4}=\frac{1}{2}$. Without specific length measurements, we can say that if we measure the lengths of $UT$ and $QP$, the scale factor is the ratio of the length of $QP$ to the length of $UT$.

Answer:

Corresponding side to $UT$: $QP$
Scale factor: Ratio of length of $QP$ to length of $UT$ (e.g., if length of $UT = a$ and length of $QP = b$, scale factor $=\frac{b}{a}$)