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Standard IX

Mathematics

RHS Criteria for Congruency

ABC and Δ DEF...

Question

∆ABC and ∆DEF are two triangle in which A-B=DF angle ACB=70°, ANGLE ABC=60° Angle DEF=70° and angle EDF=60°

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Solution

AB=DF ......(given)

angle ACB= angle DEF
angle ABC=angleEDF =60

As angle ACB= angle DEF =70

Then angle BAC= angle DFE =(180-(60+70))=50 [As sum of angles of triangle =180]
then ..... by SAA(Side angle angle) Test

∆ABC and ∆DEF are congruent

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∆ABC and ∆DEF are two triangle in which A-B=DF angle ACB=70°, ANGLE ABC=60° Angle DEF=70° and angle EDF=60°

AB=DF ......(given) angle ACB= angle DEF angle ABC=angleEDF =60 As angle ACB= angle DEF =70 Then angle BAC= angle DFE =(180-(60+70))=50 [As sum of angles of triangle =180] then ..... by SAA(Side angle angle) Test ∆ABC and ∆DEF are congruent

AB=DF ......(given)

angle ACB= angle DEF
angle ABC=angleEDF =60

As angle ACB= angle DEF =70

Then angle BAC= angle DFE =(180-(60+70))=50 [As sum of angles of triangle =180]
then ..... by SAA(Side angle angle) Test

∆ABC and ∆DEF are congruent