An illustration shows an 11 by 10 grid that has 3 rectangles on it. Figure 1 covers the 2nd row in the 3rd through 6th columns, for a total of 4 units. Figure 2 covers the 2nd to 9th rows in the 9th and 10th columns, for a total of 16 units. Figure 3 covers the 4th to the 7th rows in the 4th and 5th columns, for a total of 8 units.
Which combination of figures are similar and why?
(1 point)
Responses
Figure 2 and Figure 3; the figures are both vertical.
Figure 2 and Figure 3; the figures are both vertical.
Figure 1 and Figure 2; the side lengths are proportional and corresponding angles are equal.
Figure 1 and Figure 2; the side lengths are proportional and corresponding angles are equal.
Figure 1 and Figure 3; one figure is larger than the other.
Figure 1 and Figure 3; one figure is larger than the other.
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
1 answer
The correct response is:
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
This response is accurate as all three figures are classified as rectangles, which is a necessary condition for similarity, but does not address proportionality or specific angles. However, since they are all rectangles, this is a straightforward categorization. The other options pertain to the relationships of size and shape that may not accurately define similarity in terms of proportionality or dimensions.
