In the given figure- AD - BC- - ABC - ADC by which of the following criterian-

Given, AD = BC (side) AC = AC (common side and hypotenuse) and ∠ADC = ∠ABC = 90^∘ (Given) Therefore, Δ ABC ≅Δ ADC by RHS congruency RHS nbsp;(Right Angle Hy ...

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Standard VII

Mathematics

RHS Criteria for Congruency

In the given ...

Question

In the given figure, AD = BC. $Δ A B C ≅ Δ A D C$ by which of the following criterian?

SSS congruency

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SAS congruency

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RHS congruency

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ASA congruency

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Solution

The correct option is C RHS congruency
Given, AD = BC (side)
AC = AC (common side and hypotenuse)
and $∠$ ADC = $∠$ ABC = 90 $^{\circ}$ (Given)

Therefore, $Δ A B C ≅ Δ A D C$ by RHS congruency

RHS (Right Angle-Hypotenuse-Side) Congruency:
Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle.

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Similar questions

In the given figure, $A D = B C,$ $Δ A B C ≅ Δ A D C$ by which the following congruency?

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In the given figure, AD = BC. ΔABC≅ΔADC by which of the following criterian?

In the given figure, AD = BC. $Δ A B C ≅ Δ A D C$ by which of the following criterian?