Shapes similar to X, with a 3:1 ratio of width to height, are sought. Among the options, B and C emerge as suitable enlargements with a matching 1:3 height to length ratio, confirming their similarity to shape X.
To identify shapes similar to X, which is 3 units wide and 1 unit high, we consider the ratio of height to length. For X, this ratio is 1:3, representing a rectangular shape. Analyzing the provided answer choices:
A. 2:4.5 = 4:9
B. 3:9 = 1:3 (enlargement)
C. 2:6 = 1:3 (another enlargement)
D. 3:5
E. 3:8
F. 2:7
The key criterion for similarity is having the same ratio of length to width as X. Options B and C meet this criterion, as both have a height: length ratio of 1:3. Therefore, B and C are enlargements of shape X.
In summary, the ratios for the answer choices are examined to determine similarity to shape X. Shapes B and C are identified as suitable enlargements of X, sharing the 1:3 height to length ratio.