If two chords AB and CD intersect at point E inside a circle, what is the relati
Practice Questions
Q1
If two chords AB and CD intersect at point E inside a circle, what is the relationship between the segments AE, EB, CE, and ED?
AE * EB = CE * ED
AE + EB = CE + ED
AE = CE
EB = ED
Questions & Step-by-Step Solutions
If two chords AB and CD intersect at point E inside a circle, what is the relationship between the segments AE, EB, CE, and ED?
Step 1: Identify the two chords AB and CD that intersect at point E inside the circle.
Step 2: Label the segments of the chords: AE is the segment from A to E, EB is the segment from E to B, CE is the segment from C to E, and ED is the segment from E to D.
Step 3: Understand that the intersecting chords theorem states that when two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Step 4: Write down the relationship: AE multiplied by EB equals CE multiplied by ED.
Step 5: Conclude that AE * EB = CE * ED is the relationship between the segments.
