Intersecting Chords Worksheet

Intersecting Chords Worksheet

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

1. State the Intersecting Chords Theorem. Include a diagram to illustrate your explanation.

2. If two chords intersect inside a circle, then the product of the segments of one chord is   to the product of the segments of the other chord.

3. In a circle, if chords AB and CD intersect at point P, then AP ⋅ PB =  .

4. Chords AB and CD intersect at point P inside a circle. If AP = 6, PB = 8, and CP = 4, what is the length of PD?

5. Chords RS and TU intersect at V inside a circle. If RV = x, VS = x + 5, TV = 6, and VU = 4, find the value of x.

6. In a circle, two chords intersect. The segments of one chord are 3 cm and 8 cm. The segments of the other chord are 4 cm and y cm. Find the value of y.

7. If two chords intersect outside a circle, the Intersecting Chords Theorem still applies.