In this worksheet, we will practice using the intersecting chords theorem to find missing lengths and decide if two intersecting line segments could be chords.

**Q1: **

If , , and , find the lengths of and .

- A ,
- B ,
- C ,
- D ,

**Q2: **

Given that , , , and , do the points , , , and lie on a circle?

- Ayes
- Bno

**Q5: **

Points , , and , , are collinear. Suppose that , , , and . Do points , , , and lie on a circle?

- Ano
- Byes

**Q6: **

What is the radius of circle ?

**Q9: **

If , , and , find the lengths of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q10: **

Given that , , , and , do the points , , , and lie on a circle?

- Ano
- Byes

**Q11: **

Points , , and , , are collinear. Suppose that , , , and . Do points , , , and lie on a circle?

- Ano
- Byes