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Plane Geometry
Plane Geometry Practice 1

1.
 In the diagram, AE is perpendicular to BC and CD is perpendicular to AB. AE
 
 and CD intersect at point E. Prove that .
 
 
 
 
 2.
 In the diagram, AC is a tangent to a circle with centre O. AOC and ADF are
 
 secants to the circle. Prove that .