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Answers
Answer:
RHS congruency criteria
Step-by-step explanation:
TRICK: Whenever you see that in the given there is an angle with 90°; immediately go for the RHS criteria.
RHS means that in the triangle there will be a Right angle, Hypotenuse and Side.
Given,
EB = DB
AE = BC
∠A = ∠C = 90°
Hence, ΔABE ≅ ΔCDB by RHS congruency
(Note: it's not SAS congruence as the angle is not given to be inbetween the sides)
If the hypotenuse and one of the sides are equal (also the triangles are right angled) then it is said to be in RHS congruence.
(Note: If you prove the RHS congruence, then you can also say that the triangles are congruent by SSS congruency. This is because, since the 2 sides are corresponding in the 2 triangles, the third side is too by CPCT - corresponding parts of congruent triangles, and also since it's right angled)
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