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SSS Criteria for Congruency

Given that AC...

Question

Given that ACBD is a kite. By which congruency property are the triangles ACB and ADB congruent?

SAS property

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SSS property

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RHS property

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ASA property

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Solution

The correct option is B
SSS property

In the $△ A B C$ and $△ A B D$ ,
AC = AD (Given)
CB = DB (Given)
AB is the common side.
$⟹ △ A B C ≅ △ A B D$ [SSS congruency]
Thus, by SSS congruency rule, the two triangles (ABC and ABD) are congruent.

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Similar questions

Given that quadrilateral ACBD is a kite. By which congruency property are the triangles ACB and ADB congruent?

In $Δ$ ABD, AB=AD and AC is perpendicular to BD. State the property by which $Δ$ ACB $≅$ $Δ$ ACD.

A C B D, A B

A C = A D

A B

∠ A

△ A C B ≃ △ A D B

□ A C B D

A C B

A D B

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