Given that ACBD is a kite- nbsp-By which congruency property are nbsp-the nbsp-triangles ACB and ADB congruent- SSS property nbsp-SAS property-RHS property-ASA property-

The correct option is A SSS property nbsp; In the ABC and ABD, AC = AD nbsp; (Given) CB = DB nbsp; (Given) AB is the common side. nbsp; ABC ≅ nbsp; A ...

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Standard VIII

Mathematics

Congrueny of Triangles

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.

Q. In quadrilateral

A C B D, A B

is a diagonal. If

A C = A D

and

A B

bisects

∠ A

, by which congruence property is

△ A C B ≃ △ A D B

Q. By which congruency property, the two triangles connected by the following figure are congruent.

Q. Given that

□ A C B D

is a kite. By which congruence criterion are the triangles

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and

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congruent?

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

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

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.