Question

triangle d is a scaled copy of triangle c. what scale factor takes triangle c to triangle d?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from triangle \(C\) to triangle \(D\) is given by \(k=\frac{\text{corresponding side in }D}{\text{corresponding side in }C}\).

Step2: Identify corresponding sides

We can use the sides \(1.5\) (in \(D\)) and \(5\) (in \(C\)) or \(3.36\) (in \(D\)) and \(11.2\) (in \(C\)). Let's use \(1.5\) and \(5\).

$$k = \frac{1.5}{5}$$

Step3: Calculate the scale factor

$$k=\frac{1.5}{5}= 0.3$$

We can check with the other pair of sides: \(\frac{3.36}{11.2}=\frac{3.36\div11.2}{11.2\div11.2}=0.3\)

Answer:

\(0.3\)