Question

question the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor from the larger triangle to the smaller triangle is the ratio of the corresponding side lengths of the smaller triangle to the larger triangle.

Step2: Calculate the scale factor

Let the side - length of the larger triangle be \(22\) and the side - length of the smaller triangle be \(18\). The scale factor \(k=\frac{18}{22}\).

Step3: Simplify the fraction

We can simplify \(\frac{18}{22}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\). So \(\frac{18\div2}{22\div2}=\frac{9}{11}\).

Answer:

\(\frac{9}{11}\)