CK-12 Geometry Concepts

9.9. Segments from Chords http://www.ck12.org

12 ·x= 9 · 16

12 x= 144

x= 12

Practice

Answer true or false.

1. If two chords bisect one another then they are diameters.


2. Tangent lines can create chords inside circles.


3. If two chords intersect and you know the length of one chord, you will be able to find the length of the second
   chord.

Solve for the missing segment.

4.

5.

Findxin each diagram below. Simplify any radicals.

6.

7.

8.

Find the value ofx.

9.

10.

11.

12.

13.

14. Suzie found a piece of a broken plate. She places a ruler across two points on the rim, and the length of the
    chord is 6 inches. The distance from the midpoint of this chord to the nearest point on the rim is 1 inch. Find
    the diameter of the plate.


15. Prove the Intersecting Chords Theorem.

Given: Intersecting chordsACandBE.

Prove:ab=cd