Intersecting Chords Worksheet

Intersecting Chords Worksheet

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

1. If two chords intersect inside a circle, the product of the segments of one chord is equal to the product of the segments of the other chord. This statement describes the:

2. In a circle, two chords AB and CD intersect at point E. If AE = 6, EB = 4, and CE = 3, what is the length of ED?

3. The Intersecting Chords Theorem states that if two chords intersect inside a circle, then the product of the segments of one chord is equal to the   of the segments of the other chord.

4. If chord AC and chord BD intersect at point E inside a circle, then AE • EC =   • ED.

5. Chords AB and CD intersect at point P inside a circle. If AP = 5 cm, PB = 8 cm, and CP = 4 cm, find the length of PD.

6. In the circle shown below, chords EF and GH intersect at point I. If EI = (x + 2), IF = (x - 1), GI = x, and IH = (x - 2), find the value of x.

7. The Intersecting Chords Theorem only applies to chords that are diameters.

8. When two chords intersect, the point of intersection always bisects both chords.

9. Chords JK and LM intersect at point N inside a circle. If JN = (2x + 1), NK = (x + 4), LN = (x + 2), and NM = (x + 3), find the value of x and the lengths of the segments of each chord.