Determine whether two figures are similar if so give the similarity ratio of the smaller figure to the larger figure
6ft,6ft,8ft
10 ft,10ft,12ft
A. Yes 3:5
B.yes 2:3
C. Yes 2:5
D. Not similar
B. Yes 2:3
8/6 = 12/10 ???
I think not
4/3 = 6/5 ?
No, they are not equal.
8/6 can be simplified to 4/3 and 12/10 can be simplified to 6/5, but 4/3 is not equivalent to 6/5.
To determine whether two figures are similar, we need to compare their corresponding sides. If the ratio of corresponding sides is the same for both figures, then they are similar.
Let's compare the corresponding sides of the first figure (6ft, 6ft, 8ft) to the corresponding sides of the second figure (10ft, 10ft, 12ft):
For the sides 6ft and 10ft: 10ft / 6ft = 1.67
For the sides 6ft and 10ft: 10ft / 6ft = 1.67
For the sides 8ft and 12ft: 12ft / 8ft = 1.5
These ratios are not all the same. Therefore, the two figures are not similar.
So, the answer is D. Not similar.