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)

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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