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*Triangles are similar if their corresponding  angles are congruent and the ratio of their corresponding sides are in proportion.
 
*Triangles are similar if their corresponding  angles are congruent and the ratio of their corresponding sides are in proportion.
 
*To develop an ability to state and apply the definition of similar triangles.
 
*To develop an ability to state and apply the definition of similar triangles.
*recognize and apply “corresponding sides of similar triangles are proportional”.
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*Recognize and apply “corresponding sides of similar triangles are proportional”.
 
===Estimated Time===
 
===Estimated Time===
 
45 minutes.
 
45 minutes.
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#Two triangles are similar  if they have: all their angles are equal or corresponding sides are in the same ratio
 
#Two triangles are similar  if they have: all their angles are equal or corresponding sides are in the same ratio
 
#In similar triangles, the sides facing the equal angles are always in the same ratio.  Application of this finds its use in finding  the unknown lengths in similar triangles . For this :
 
#In similar triangles, the sides facing the equal angles are always in the same ratio.  Application of this finds its use in finding  the unknown lengths in similar triangles . For this :
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##Step #1: Find the ratio of corresponding sides in pairs of similar triangles.
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##Step #2: Use that ratio to find the unknown lengths.

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