Question

1. in the following family portraits, figure n is a scale - drawing of figure m.

figure m: 7 in, 5.5 in
figure n: 14 in, 11 in

a. is figure n an enlargement or a reduction of figure m?

b. which measurement in figure m corresponds with 11 inches in figure n?

c. determine the scale factor that relates the scale drawing, figure n, to figure m.

Explanation:

Step1: Compare dimensions

Since the dimensions of figure N (14 in by 11 in) are larger than those of figure M (7 in by 5.5 in), figure N is an enlargement.

Step2: Identify corresponding sides

The height of figure M corresponds to the height of figure N. The height of figure M is 5.5 inches which corresponds to 11 inches in figure N.

Step3: Calculate scale - factor

The scale factor $k$ is found by dividing the corresponding side - length of figure N by the corresponding side - length of figure M. For the height, $k=\frac{11}{5.5}=2$.

Answer:

a. Enlargement
b. 5.5 inches
c. 2