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RHS Criteria for Congruency

i In the give...

Question

Question 154 (i)

In the given figure, $Q S ⊥ P R, R T ⊥ P Q$ and $Q S = R T$
Is $Δ Q S R ≅ Δ R T Q$ ? Give reason.

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Solution

In $Δ Q S R$ and $Δ R T Q$ QS = RT [given]
$∠ Q S R = ∠ Q T R = 90^{\circ}$
QR = QR [common side]
By RHS congruence criterion,
$Δ Q S R ≅ Δ R T Q$

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Question 154 (ii)

In the given figure, $Q S ⊥ P R$ , $R T ⊥ P Q$ and QS = RT
Is $∠ P Q R = ∠ P R Q$ ? Give reason.

Q. In the given figure,

R S = Q T

Q S = R T .

P Q = P R

In the given figure, T is a point on side QR of $Δ P Q R$ and S is a point such that RT = ST.
Which of the following is true?

In the given figure, $R S = Q T$ and $Q S = R T .$ Then which of the following options is correct?

In the given figure, RS = QT and QS = RT. Then which of the following options is correct?

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RHS Criteria for Congruency

Standard VII Mathematics

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