Intersecting Chords Worksheet

Intersecting Chords Theorem

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. When two chords intersect inside a circle, the product of the segments of one chord is equal to the   of the segments of the other chord.

2. The Intersecting Chords Theorem states that if chords AB and CD intersect at point P inside a circle, then AP ⋅ PB =  .

3. In the circle below, chords AB and CD intersect at point P. If AP = 6, PB = 8, and CP = 4, find the length of PD.

4. Chords EF and GH intersect at point K inside a circle. If EK = 5, KF = 12, and GK = 10, what is the length of KH?

5. A circular stained-glass window has two intersecting lead strips, AB and CD. If the segments of AB are 9 inches and 4 inches, and one segment of CD is 6 inches, what is the length of the other segment of CD?