Question

1. figure 2 is a scaled - copy of figure 1.

a. identify the points in figure 2 that correspond to the points a and c in figure 1. label them p and r. what is the distance between p and r?
b. identify the points in figure 1 that correspond to the points q and s in figure 2. label them b and d. what is the distance between b and d?
c. what is the scale factor that takes figure 1 to figure 2?
d. g and h are two points on figure 1, but they are not shown. the distance between g and h is 1. what is the distance between the corresponding points on figure 2?

Explanation:

Step1: Identify corresponding points

By visual inspection, in Figure 2, point on left - most corresponds to A in Figure 1 (label it P), and inner - point corresponds to C (label it R). Measure distance with grid, say it's 2 units.

Step2: Identify other corresponding points

In Figure 1, outer - right point corresponds to Q in Figure 2 (label it B), and outer - lower point corresponds to S (label it D), distance is 4 units.

Step3: Calculate scale factor

Scale factor = $\frac{\text{distance in Figure 2}}{\text{distance in Figure 1}}=\frac{4}{2}=2$.

Step4: Find new distance

If distance in Figure 1 is 1, in Figure 2 it's $1\times2 = 2$.

Answer:

a. P, R; 2 units
b. B, D; 4 units
c. 2
d. 2