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, Figure 2, and Figure 3; all figures are rectangles.
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
Figure 1 and Figure 3; one figure is larger than the other.
Figure 1 and Figure 3; one figure is larger than the other.
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1 answer
The correct response is:
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
While Figures 2 and 3 are vertical, the key factor in determining similarity is that all three figures are rectangles. Similarity in geometric shapes is typically based on having the same shape but potentially different sizes, and since all figures are rectangles, they share that property. Therefore, the best answer is that all figures are rectangles.
