# Lesson Worksheet: Distance and Midpoints on the Complex Plane Mathematics

In this worksheet, we will practice finding the distance and midpoint of two complex numbers in the complex plane.

**Q1: **

Find the midpoint of and .

- A
- B
- C
- D
- E

**Q2: **

What is the general form for the midpoint of two complex numbers and ?

- A
- B
- C
- D
- E

**Q3: **

A complex number lies at a distance of from and at a distance of from . Is the triangle formed by the points , , and a right triangle?

- AYes
- BNo

**Q4: **

What complex number lies at the midpoint of the complex numbers and when they are represented on a complex plane?

- A
- B
- C
- D
- E

**Q5: **

Find the complex number such that lies at the midpoint of and when they are represented on a complex plane.

- A
- B
- C
- D
- E

**Q6: **

Find the possible real values of such that the distance between the complex number and the complex number is 5.

- A3 or 11
- B1.7 or 15.7
- C5
- D5 or 9
- E0.5 or 14.5

**Q7: **

What complex number lies at the midpoint of the complex numbers and , where , , , and are real, when they are represented on a complex plane?

- A
- B
- C
- D
- E

**Q8: **

What is the distance between the complex numbers and , where and are real?

- A
- B
- C
- D
- E

**Q9: **

What is the distance between the numbers and on the complex plane?

**Q10: **

What is the distance between the numbers and on the complex plane?