State the relationships between the segments formed when two secants intersect inside a circle and when two secants intersect outside the circle. Justify your answers.
What will be an ideal response?
Answers will vary.
When secants intersects inside a circle, (AE)(BE) = (CE)(DE) because BEC ~ DEA by
AA. Then the sides are proportional.
When secants intersect outside a circle, (BE)(AE) (CE)(DE) because ACE DBE by
AA. Then the sides are proportional.
Mathematics
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