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. □ = 12/16 = □ the scale factor is □

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 - length of the dilated triangle to the side - length of the original triangle. So $k=\frac{12}{16}$.

Step3: Simplify the fraction

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

Answer:

$\frac{12}{16}=\frac{3}{4}$; The scale factor is $\frac{3}{4}$