Which statement is true about the following pair of rectangles K they are not similar because 6/60 does not equal 38 over three
The statement "they are not similar because 6/60 does not equal 38 over three" is not true.
To determine if two rectangles are similar, you need to compare the ratios of corresponding sides. In this case, if the ratio of the lengths of corresponding sides is the same, the rectangles are considered similar.
For the given pair of rectangles, the ratio of the lengths of corresponding sides is:
Length of Rectangle K: 6
Length of Rectangle: 60
Length of Rectangle K: 38
Length of Rectangle: 3
Simplifying these ratios, we get:
1/10 and 38/3
These ratios are not equal. Therefore, we can conclude that the two rectangles are not similar.
To determine whether the following pair of rectangles, K, is similar or not, we need to compare their corresponding side lengths.
In this case, we have the ratio of 6/60 and 38/3. To check if the rectangles are similar, we'll simplify these ratios:
6/60 simplifies to 1/10 by dividing both the numerator and denominator by 6.
38/3 cannot be simplified further.
Now, if the rectangles are similar, their corresponding side lengths should have the same ratio. In other words, if a/b is the ratio of side lengths for one rectangle, then the ratio of corresponding side lengths for the other rectangle should also be a/b.
However, in this case, the ratio of the simplified fractions is not the same:
1/10 ≠ 38/3
Since the two ratios are not equal, we can conclude that the rectangles are not similar.