Question

problems 2 - 3 triangles s and triangle l are scaled copies of one another what is the scale factor that takes triangle s to triangle l? what is the scale factor that takes triangle l to triangle s?

Explanation:

Step1: Measure corresponding side lengths

Let's assume we measure a side - length of triangle S as \(s\) and the corresponding side - length of triangle L as \(l\).

Step2: Calculate scale factor from S to L

The scale factor \(k_{S
ightarrow L}\) from triangle S to triangle L is given by the ratio of the side - length of triangle L to the side - length of triangle S, \(k_{S
ightarrow L}=\frac{l}{s}\).

Step3: Calculate scale factor from L to S

The scale factor \(k_{L
ightarrow S}\) from triangle L to triangle S is the reciprocal of the previous scale factor, \(k_{L
ightarrow S}=\frac{s}{l}\).

Answer:

The scale factor that takes triangle S to triangle L is \(\frac{\text{length of corresponding side in L}}{\text{length of corresponding side in S}}\); the scale factor that takes triangle L to triangle S is \(\frac{\text{length of corresponding side in S}}{\text{length of corresponding side in L}}\)