Similar Figures: Two figures that have the same shape but are not necessarily the same size.
These two triangles above are similar triangles. The smaller one is half the size of the larger one.
These two triangles are also similar but as you can see there is a side missing. To find this missing side we can use proportions. Take two of same side from each and put it into a proportion. We will use 10 and 7 from the smaller triangle and 20 and the missing value x. Put this into a proportion of 10/7 and 20/x solve and you will find that x= 14. You can also do it easy to see if the other values are half of the larger on if so then it will be easy to do the math and multiply the small number by two.
Questions:
1.) Find the missing side length.
2.) Find missing value.
3.) Find missing value.
Answers:
1.) 6/9 = 14/x
9x14/6= 21
2.) 18/21= 6/x
21x6/18= 7
3.) 3/4 = 9/x
4x9/3= 12
5/4 = x/12
5x12/4= 15
9x14/6= 21
2.) 18/21= 6/x
21x6/18= 7
3.) 3/4 = 9/x
4x9/3= 12
5/4 = x/12
5x12/4= 15
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