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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 is equal to angle P is equal to 90 degree underline 0 and AB is equal to RP

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?

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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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