Alyssa Z.

asked • 24d

Given:AE = 7, EB = 4 DC = 16. Find:DE and EC (Assume DE > EC.)

Consider the following theorem.

If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.

O is the center of the circle.

A circle contains six labeled points and four line segments.

  1. The center of the circle is point O.
  2. Points ABC and D are on the circle. Point A is on the top middle, point B is on the bottom right, point C is slightly above the middle right, and point D is on the bottom left.
  3. A line segment connects points A and B.
  4. A line segment connects points C and D.
  5. A line segment connects points A and D.
  6. A line segment connects points C and B.
  7. Point E is the intersection of line segments A B and C D. Point E is to the right and slightly below point O.
Given:AE = 7
EB = 4
DC = 16
Find:DE and EC
(Assume DE > EC.)

Mark M.

What does the theorem state? Do you have difficulty with the English or with the Geometry?


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