Fundamental Ideas
Similarity
Theorem 59: If two triangles are similar, then the ratio of any two corresponding segments (such as altitudes, medians, or angle bisectors) equals the ratio of any two corresponding sides.
In Figure
1 , suppose Δ
QRS∼ Δ
TUV.
|
|
|||
|
|||
|
|
|||
|
|||
|
|
Then,
|
Then, according to
Theorem 26,
|
Example 1: Use Figure
2 and the fact that Δ
ABC∼ Δ
GHI. to find
x.
|
|
|||
|
|||
|
|
|||
|
|||
|
|
|
