Question

triangle abc is dilated to form triangle xyz. find the scale - factor by writing the quotients of the corresponding side lengths as fractions. use the number pad to enter your answers in the boxes. □=\frac{12}{16}=□

Explanation:

Step1: Identify corresponding sides

We consider the side of length 16 cm in $\triangle ABC$ and the side of length 12 cm in $\triangle XYZ$.

Step2: Calculate the scale - factor

The scale - factor $k$ is given by the ratio of the side lengths of the dilated triangle to the original triangle. So $k=\frac{12}{16}$.

Step3: Simplify the fraction

$\frac{12}{16}=\frac{12\div4}{16\div4}=\frac{3}{4}$.

Answer:

$\frac{12}{16}=\frac{3}{4}$