S1 and S2 are two circles that intersect at two different points P and Q. Let ℓ1 and ℓ2 be two parallel lines such that ℓ1 passes through the point P and intersects S1,S2 at A1,A2 respectively (both distinct from P), and ℓ2 passes through the point Q and intersects S1,S2 at B1,B2 respectively (both distinct from Q).
Show that the triangles A1QA2 and B1PB2 have the same perimeter. geometryperimeterparallelogramgeometry proposed