l and m are two parallel lines intersected by another pair of parallel lines p and q. Then:
A
△ABC≅△CDA.
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B
△ABC≅△ADC.
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C
△ABC≅△DCA.
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D
△ABC≅△CAD.
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Solution
The correct option is D△ABC≅△CDA. In △ABC and △CDA ∠CAB=∠ACD (Pair of alternate angle) ∠BCA=∠DAC (Pair of alternate angle) AC=AC (Common side) △ABC≅△CDA (ASA criteria)