Congruence of Triangles By RHS Criteria


 
 
Concept Explanation
 

Congruence of Triangle by RHS Criteria

 RHS rule Congruence of right-angled triangle illustrates that, if the hypotenuse and one side of right-angled triangle are equal to the corresponding hypotenuse and one side of another right-angled triangle; then both the right-angled triangle are said to be congruent.

 

RHS - Congruence Of Triangles

In the above figure, hypotenuse XZ = RT and side YZ=ST, hence bigtriangleup XYZcong bigtriangleup RST

Sample Questions
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Question : 1

In triangles ABC and PQR, ∠B = 90∘, AC = 8 cm, AB = 3 cm, ∠P = 90∘, PR = 3 cm, QR = 8 cm. By which congruence rule the triangles are congruent?

Right Option : B
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Question : 2

In  Delta ABC,: AB=3cm, : BC=4cm: : and : : AC=5cm and in  Delta PQR,angle Q=90^o,  hypotenuse and perpendicular are 5 cm and 3 cm, respectively. State whether the triangles are congruent. If yes, by which property are they congruent ?

 

Right Option : C
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Question : 3

In  Delta PQR,: : if : : PQ=PR: : : and PSperp QR,  then by which of the following properties does  Delta PQS cong Delta PRS: ?

Right Option : B
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