The complex plane, and the absolute value of a complex number

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo's kite string runs from 0 to -4 + i. Leave it as a square root (type √ or sqrt). What is |-4 + i|?

   √17
2. 2.

   Noah's robot rolls from 0 to 5 − 2i. Leave it as a square root (type √ or sqrt). What is |5 − 2i|?

   √29
3. 3.

   Pia finds the absolute value of -6 − i. Leave it as a square root (type √ or sqrt). What is |-6 − i|?

   √37
4. 4.

   Ren has two pins on a grid map, at -1 + 3i and 3 + 6i. How far apart are they?

   5
5. 5.

   Tala flies two kites, drawn at -2 + 3i and 4 − 5i on the complex plane. How far apart are they?

   10
6. 6.

   Zee's robot drives straight from 5 − i to -7 + 4i. How far does the robot drive?

   13
7. 7.

   Esme finds the distance between -3 − 4i and 5 + 11i for a puzzle. How far apart are they?

   17
8. 8.

   Jun puts a snack stop halfway between pins at 2 + 6i and -4 + 2i. What is the midpoint, in a + bi form?

   -1 + 4i
9. 9.

   Kira ties a ribbon halfway between kites at 5 − 3i and 1 + 7i. What is the midpoint, in a + bi form?

   3 + 2i
10. 10.

    Luz's robot stops halfway from -6 − 2i to 2 − 8i. What is the midpoint, in a + bi form?

    -2 − 5i