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RHS Criteria for Congruency

State whether...

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Question 106

State whether the statement is True or False.

In the given figure, $A D ⊥ B C$ and AD is the bisector of angle BAC. Then, $Δ A B D ≅ Δ A C D$ by RHS.

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Solution

False
In $Δ A B D$ and $Δ A C D$ ,
AD = AD [common side]
$∠ B A D = ∠ C A D$ [ $∵$ AD is the bisector of $∠ B A C$ ]
$∠ A D B = ∠ A D C = 90^{\circ}$
By ASA congruence criterion,
$Δ A B D ≅ Δ A C D$

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RHS Criteria for Congruency

Standard VII Mathematics

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