**Q1: **

What complex number lies at the midpoint of and on the given complex plane?

- A
- B
- C
- D
- E

**Q2: **

Describe the geometric transformation that maps every complex number to its conjugate .

- Areflection in the line
- Breflection in the imaginary axis
- Creflection in the line
- Dreflection in the real axis
- Erotation by about the origin

**Q3: **

In what quadrant does lie?

- Athe second quadrant
- Bthe first quadrant
- Cthe fourth quadrant
- Dthe third quadrant

**Q4: **

Find the value of given on the Argand diagram below.

- A
- B
- C
- D

**Q5: **

Find the value of given on the Argand diagram below.

- A
- B
- C
- D

**Q6: **

Find the value of given on the Argand diagram below.

- A
- B
- C
- D

**Q9: **

Find the value of given on the Argand diagram below.

- A
- B
- C
- D

**Q10: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q11: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q12: **

If the number is represented on Argand diagram by the point , determine the Cartesian coordinates of that point.

- A
- B
- C
- D

**Q13: **

Describe the geometric transformation that occurs when numbers in the complex plane are mapped to their sum with .

- Aa translation by
- Ba translation by
- Ca translation by
- Da translation by
- Ea translation by

**Q14: **

Using the Argand diagram shown, find the value of .

**Q15: **

The numbers in the complex plane are mapped to their product with a particular complex number . Given that this transforms the complex plane by a dilation with center the origin followed by a rotation by radians about the origin, what kind of number is ?

- Aa positive imaginary number
- Ba positive real number
- Ca negative imaginary number
- Da negative real number