an introduction to congruent triangles
TRANSCRIPT
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St. Thomas Training CollegeMukkolakkal
Submitted by
LIKHA. KRegister no:18014386003
Year : 2014-2015
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CONGRUENT
TRIANGLES
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Real life examples of Congruent figures
Stack of coins placed one over the other.
Stack of CD placed over the other.
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Mathematical examples of Congruent figures
oTwo circles having the same radii
oTwo triangles with the same measure.
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The Theorems in Congruent Triangle
1. SSS
2. ASA
3. SAS
4. RHS
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1. SSS Theorem
If three sides of a one triangle are equal to the
three sides of another triangle then those two
triangles are congruent.
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2. ASA Theorem
If one side and two angles of a triangle are equal to the one side and the two angles on it of another triangle then those triangles are congruent.
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3. SAS Theorem
It two sides and their included angle of one triangle is equal to the two sides and included angle of another triangle then they are congruent.
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4. R.H.S Theorem
If the base and altitude of a right angled triangle are equal to the base and altitude of another right angled triangle then those two triangles are congruent.
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Are they congruent? Why?
Ans: Yes
By R.H.S
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THANK YOU