L and M are parallel lines, which have been intersected by the parallel lines P and Q. Show ∆ABC is congruent to ∆CDA.
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See that ABC are making a triangle , CDA are also making a triangle from each other
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GIVEN THAT,
l and m are parallel lines.
In ∆ABC and ∆CDA,
AD=BC (since l and m are parallel lines)
Angle BCA= Angle CAD (since these angles are alternate interior angles)
AC= AC (common side)
THEREFORE, ∆ABC=∆CDA (by SAS congruence).
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