Which of the following pair of triangles are congruent by RHS criterion?

(i) and (ii)

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(iii) and (iv)

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(i) and (iii)

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(ii) and (iv)

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Solution

The correct option is A (i) and (ii)
In $△ A B C$ and $△ Q R P$
$\Rightarrow$ $A B = Q R = 4 c m$
$\Rightarrow$ $B C = R P = 5 c m$ [Hypotenuse]
$\Rightarrow$ $∠ A = ∠ Q = 90^{o}$
$∴$ $△ A B C ≅ △ Q R P$ [By RHS criteria]

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Which of the following pair of triangles are congruent by RHS criterion?

The correct option is A (i) and (ii)In △ABC and △QRP⇒ AB=QR=4cm⇒ BC=RP=5cm [Hypotenuse]⇒ ∠A=∠Q=90o∴ △ABC≅△QRP [By RHS criteria]

The correct option is A (i) and (ii)
In $△ A B C$ and $△ Q R P$
$\Rightarrow$ $A B = Q R = 4 c m$
$\Rightarrow$ $B C = R P = 5 c m$ [Hypotenuse]
$\Rightarrow$ $∠ A = ∠ Q = 90^{o}$
$∴$ $△ A B C ≅ △ Q R P$ [By RHS criteria]