Option 1 is correct
Step-by-step explanation:
Similarity means two images having same shape or one image can be obtained by uniformly scaling the other image.
In the given options, one rectangle is larger and the other is smaller so we have to check which pair of rectangles contain rectangle that is obtained by scaling the other rectangle.
So
We can find the scale factor by dividing the sides of larger rectangle by dividing the respective sides in smaller rectangle.
Option 1:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{15}{4} = 3.75[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 2:
[tex]Scale\ for\ length = \frac{6}{2} = 3\\Scale\ for\ width = \frac{8}{4} = 2[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 3:
[tex]Scale\ for\ length = \frac{6}{3} = 2\\Scale\ for\ width = \frac{15}{8} = 1.875[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 4:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{12}{4} = 3[/tex]
As the scale is same for both sides(Uniform), so the rectangles are similar
Hence,
Option 1 is correct
Keywords: Rectangles, similarity
Learn more about similarity at:
- brainly.com/question/96535
- brainly.com/question/9533500
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