State True or False:

Given that quadrilateral ACBD is a kite, the triangles ACB and ADB congruent.

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Solution

Answer: True

Explanation:
In $△ A B C$ and $△ A B D$ ,
AC = AD (Given)
CB = DB (Given)
AB is the common side.
$⟹ △ A B C ≅ △ A B D$ by SSS congruency rule.
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Question 86

State whether the statement is True or False.

In the given figures, two triangles are congruent by RHS.

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

□ A C B D

A C B

A D B

A C B D, A B

A C = A D

A B

∠ A

△ A C B ≃ △ A D B

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