AnswersCUSD Advanced Math A 5.0Distance and Midpoints in the Complex Plane

Distance and Midpoints in the Complex Plane Answers

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1
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Compute .

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A
Option
B
3
C
Option
2
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In general, what is the modulus of any complex number ?

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A
Option
B
Option
C
Option
3

Compute .

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A
Option
B
Option
C
Option
4

The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape.

A
line.
B
circle.
C
triangle.
D
square.
E
diameter
F
circumference
G
perimeter
H
radius
I
slope
5

The circle has a center at .

A
(3, 0)
B
(0, 3)
C
(0, 0)
6

Find the midpoint of a segment with endpoints of 4 – 3i and –2 + 7i.

A
0.5i + 2i
B
1 + 2i
C
Option
D
Option
7

How did you solve the problem? Check all of the boxes that apply.

A
I used the distance formula.
B
used the Pythagorean theorem.
C
I am comfortable using both the distance formula and the Pythagorean theorem because they are really the same idea.
D
Both methods are confusing; I am lost.
8

What mistake did Raul make?

A
He subtracted the values instead of adding them.
B
He did not add the corresponding parts of the complex numbers.
C
He found the sum instead of the average because he forgot to divide by two.
D
He added the numbers in the wrong order.

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