Question

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

figure m: 5.5 in, 7 in
figure n: 11 in, 14 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 side - lengths

Compare the side - lengths of figure M and figure N. The side - lengths of figure N are larger than those of figure M.

Step2: Identify corresponding sides

The vertical sides are corresponding. The vertical side of figure N is 11 inches and the vertical side of figure M is 5.5 inches.

Step3: Calculate scale factor

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

Answer:

a. Figure N is an enlargement of figure M.
b. The 5.5 - inch measurement in figure M corresponds with 11 inches in figure N.
c. The scale factor is 2.