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l and m are two parallel lines inserted by
another pair of parallel lines p and q (see.fig.
7.19) show that ∆ABC~∆ CDA.
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Step-by-step explanation:
Answered by
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Step-by-step explanation:
Given
l and m are two parallel lines p and q are another pair of parallel lines
To Prove
Triangles ABC and CDA are similar i.e. ΔABC ΔCDA
Proof
From two triangles ΔABC and ΔCDA
∠ BCA = ∠DAC {Alternate interior angles}…. (i)
∠ BAC = ∠ DCA {Alternate interior angles}…. (ii)
AC {Common side of two triangles}…………. (iii)
From above three equation both the triangle satisfies “ASA” congruency criterion
So, ΔABC ≅ ΔCDA
Hence Proved
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