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In similar figures the ratio of two corresponding sides is always equal. Use this information to write a proportion.
Identify corresponding sides by using the similarity statement.
Identify corresponding sides by using the similarity statement.
Identify corresponding sides by using the similarity statement.
x=18
w=20
n≈6.86
m=7.7
In similar figures the ratio of two corresponding sides is always equal. By identifying corresponding sides, we can set up a proportion.
Let's substitute the side lengths in our proportion and solve for x.
Substitute values
a/b=.a /3./.b /3.
LHS * 12=RHS* 12
a/c* b = a* b/c
Calculate quotient
Like in Part A, we will identify corresponding sides of the triangles and set up a proportion. Notice that the way the similarity statement is written tells us which vertices are corresponding.
â–³ NOP ~ â–³ XYZ
Let's substitute the side lengths in our proportion and solve for x.
Substitute values
Calculate quotient
LHS * 5=RHS* 5
Like in Part B, we will identify corresponding sides of the triangles and set up a proportiona. Again, the way the similarity statement is written tells us which vertices are corresponding.
â–³ GHI ~ â–³ PQR
Let's substitute the side lengths in our proportion and solve for x.
Substitute values
LHS * 3=RHS* 3
a/c* b = a* b/c
Calculate quotient
Round to 2 decimal place(s)
Like in Part B, we will identify corresponding sides of the triangles and set up a proportion. Again, the way the similarity statement is written tells us which vertices are corresponding.
â–³ ABC ~ â–³ XYZ
Let's substitute the side lengths in our proportion and solve for x.