Question: If two chords AB and CD of a circle intersect at point E, what is the relationship between AE, EB, CE, and ED?
Options:
AE * EB = CE * ED
AE + EB = CE + ED
AE - EB = CE - ED
AE / EB = CE / ED
Correct Answer: AE * EB = CE * ED
Solution:
According to the intersecting chords theorem, AE * EB = CE * ED.
If two chords AB and CD of a circle intersect at point E, what is the relationsh
Practice Questions
Q1
If two chords AB and CD of a circle intersect at point E, what is the relationship between AE, EB, CE, and ED?
AE * EB = CE * ED
AE + EB = CE + ED
AE - EB = CE - ED
AE / EB = CE / ED
Questions & Step-by-Step Solutions
If two chords AB and CD of a circle intersect at point E, what is the relationship between AE, EB, CE, and ED?
Intersecting Chords Theorem – This theorem states that when two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.
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