Q. 14.4( 32 Votes )

Suppose ABCD is a rectangle. Using the RHS theorem, prove that triangles ABC and ADC are congruent.

Answer :

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ABCD is a rectangle


AC is a diagonal


In Δ ABC and Δ ADC


AD = BC (Opposite sides of a rectangle)


ADC = ABC = 900(Angle of a rectangle)


AC = AC (Common side)


So Δ ABC and Δ ADC is congruent by R.H.S. axiom of congruency.


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