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 are given $\frac{12}{16}$. Here, side $YZ = 12$ cm in $\triangle XYZ$ corresponds to side $BC=16$ cm in $\triangle ABC$.

Step2: Simplify the fraction

$\frac{12}{16}=\frac{12\div4}{16\div4}=\frac{3}{4}$
The scale - factor is the ratio of the lengths of corresponding sides of the dilated triangle to the original triangle. Since $\frac{12}{16}=\frac{3}{4}$, the scale factor is $\frac{3}{4}$.

Answer:

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