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1. In Fig 7.32, measures of some parts of triangles are given.By applying RHS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form.

Answers (1)

P Pankaj Sanodiya

i) In $\Delta PQR$ and $\Delta DEF$

$\angle Q = \angle E$

$PR = DF=6cm$

$PQ\neq DE$

Hence they are not congruent.

ii)

In $\Delta ACB$ and $\Delta BDA$

$\angle D = \angle C$

$DB= AC=2cm$

$AB=BA$ ( same side )

So, by RHS congruency rule,

$\Delta ACB\cong\Delta BDA$

iii)

In $\Delta ABC$ and $\Delta ADC$

$\angle B = \angle D$

$AB= AD=3.6cm$

$AC=AC$ ( same side )

So, by RHS congruency rule,

$\Delta ABC\cong\Delta ADC$

iv)

In $\Delta PSQ$ and $\Delta PSR$

$\angle PSQ = \angle PSR$

$PQ= PR=3cm$

$PS=PS$ ( same side )

So, by RHS congruency rule,

$\Delta PSQ\cong\Delta PSR$

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