Question

The two figures are scaled copies of each other.

What are some ways that you can tell they are scaledcopies?
What is the scale factor that takes Figure 1 to Figure 27
What is the scale factor that takes Figure 2 to Figure 1?

Answer 1

What are some ways that you can tell they are scaled copies?

If you compare any corresponding parts, say the segment AB and segment PQ, the slope is the same: 1/3 = 3/9 and this sizing change is the same for all the line segments.

BC = 1/1, QR = 3/3

CD = 2/1, RS = 6/3

DA = 2/3, SP = 6/9

So the side lengths changed by the same scale factor, while keeping the same angle/slope.

What is the scale factor that takes Figure 1 to Figure 2?

3, since the new lengths are three times longer.

What is the scale factor that takes Figure 2 to Figure 1?

1/3, since the new lengths are 1/3 the length.