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Similar and congruent triangles (view source)
Revision as of 21:33, 28 December 2013
, 21:33, 28 December 2013no edit summary
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# The students should have clarity between the terms congruent and similar.
# 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.
# 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.
+# 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 :<br>
+Step 1: Find the ratio of corresponding sides in pairs of similar triangles.<br>
+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.
−*Multimedia resources: Laptop
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*Process:
*Process:
−*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 )