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From Karnataka Open Educational Resources
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# recognize and apply “corresponding sides of similar triangles are proportional”.
 
# recognize and apply “corresponding sides of similar triangles are proportional”.
 
===Notes for teachers===
 
===Notes for teachers===
 +
# The teacher can bring  different sized photographs got from same negative like stamp size, passport size and a post card size .
 +
# Compare them and say that all photos are look alikes and are proportionate. only the size differs.
 +
# She can also mention about scale concept in graphical representation.
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# Hence similar triangles are the same proportionate triangles but of different sizes.
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# Two triangles are similar  if they have:
 +
* all their angles equal
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* corresponding sides in the same ratio
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# 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 :<br>
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Step 1: Find the ratio of corresponding sides in pairs of similar triangles.<br>
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Step 2: Use that ratio to find the unknown lengths.<br>
 
===Activity No # 1. SIMILAR TRIANGLES===
 
===Activity No # 1. SIMILAR TRIANGLES===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
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# They should know how to find ratio.
 
# They should know how to find ratio.
 
# They should know to find area and perimeter of triangles.
 
# They should know to find area and perimeter of triangles.
# The students should have clarity between the terms congruent and similar.
   
*Multimedia resources: Laptop
 
*Multimedia resources: Laptop
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
 
*Process:
 
*Process:
# The teacher can bring  different sized photographs got from same negative like stamp size, passport size and a post card size . Compare them and say that all photos are look alikes and are proportionate . only the size differs.
+
 
# She can also mention about scale concept in graphical representation.
+
 
# Hence similar triangles are the same proportionate triangles but of different sizes.
  −
# Two triangles are similar  if they have:
  −
* all their angles equal
  −
* corresponding sides 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 :
  −
Step 1: Find the ratio of corresponding sides in pairs of similar triangles.
  −
Step 2: Use that ratio to find the unknown lengths.
   
*Developmental Questions:
 
*Developmental Questions:
 
# Look at the shape of both triangles being formed? (look alikes )
 
# Look at the shape of both triangles being formed? (look alikes )
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