2. It is to be established by RHS congruence rule that  \bigtriangleup ABC\cong \bigtriangleup RPQ. What additional information is needed, if it is given that

          \angle B= \angle P= 90^{\underline{0}}  and AB= RP?

Answers (1)

To prove congruency by RHS (Right angle, Hypotenuse, Side ) rule, we need hypotenuse and side equal to the corresponding hypotenus and side of different angle.

So Given

\angle B= \angle P= 90^0  ( Right angle )

 AB= RP.  ( Side )

So the third information we need is the equality of  Hypotenuse of both triangles. i.e.

AC= RQ

Hence, if this information is given then we can say,

\bigtriangleup ABC\cong \bigtriangleup RPQ.

 

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