Answer:
A
Explanation:
Shape A is a dilation with scale factor 2 of shape S. Therefore, it is similar.
Similar shapes share angles, and the scale factor between their dimensions is a constant proportion. We can verify this on shape A by looking at the shape's height and width:
shape S shape A
height: 2 4
width: 3 6
We can see that shape A's dimensions are double those of shape S.
shape S shape A
height: 2 × 2 = 4
width: 3 × 2 = 6
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When we compare shape S with another shape — say, for example, shape C, we can see that the side lengths are not dilated proportionately; the height is dilated by 2, but the width is dilated by 5/3. Therefore, the shape S and shape C are not similar.
shape S shape C
height: 2 × 2 = 4
width: 3 × 5/3 = 5