QUESTION IMAGE
Question
answer attempt 1 out of 2 which side in the figure corresponds to segment wv? what is the scale factor? 3/2 2/3 1/3 1/2 3 2
Step1: Recall scale - factor formula
The scale factor $k$ of two similar figures is the ratio of the lengths of corresponding sides. Let the length of a side in the first figure be $a$ and the length of the corresponding side in the second figure be $b$. Then $k=\frac{b}{a}$.
Step2: Assume side - length relationship
Since the two figures are similar, if we assume the lengths of corresponding sides of the two similar polygons are in proportion. Without loss of generality, if we consider the ratio of the lengths of two corresponding sides of the two similar polygons, say if the length of a side in the first polygon is $x$ and in the second is $y$, and we know that for similar polygons $\frac{y}{x}$ gives the scale factor.
If we assume the first polygon has side - length $s_1$ and the second has side - length $s_2$ for corresponding sides, and we know that if $s_2=\frac{3}{2}s_1$, the scale factor from the first polygon to the second is $\frac{3}{2}$.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
$\frac{3}{2}$