# 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?