It is to be established by RHS congruence rule that triangle ABCcong triangle RPQ- What additional information is needed- it is given that angle B-angle P-90-o and AB-RP-

Question

Toppr Admin · Accepted Answer

For two right angle triangles to be congruent, we need to show two corresponding parameters as equal, with one of them as side for sure.
$\begin{matrix} S i n c e, Δ A B C ≅ Δ R P Q a n d A B = R P A n y o n e o f t h e s e c o n d i t i o n s i s r e q u i r e d : A C = R Q B C = P Q ∠ B A C = ∠ P R Q a n d ∠ A C B = ∠ R Q P \end{matrix}$

It is to be established by RHS congruence rule that △ABC≅△RPQ. What additional information is needed, if it is given that ∠B=∠P=90o and AB=RP?

For two right angle triangles to be congruent, we need to show two corresponding parameters as equal, with one of them as side for sure.Since,ΔABC≅ΔRPQandAB=RPAny one of these conditions is required: AC=RQBC=PQ∠BAC=∠PRQand∠ACB=∠RQP

It is to be established by $R H S$ congruence rule that $△ A B C ≅ △ R P Q$ . What additional information is needed, if it is given that $∠ B = ∠ P = 90^{o}$ and $A B = R P$ ?