IXL - Midpoints in the complex plane (Precalculus practice)

Graph

in the complex plane.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -11 to 11, y-axis coordinates from -11 to 11. The following data are shown. Point (0, 5). Point (0, -5).

ref_doc_title.

Learn with an example

question

Graph

in the complex plane.

key idea

Midpoint formula in the complex plane

The midpoint of the segment connecting

𝑖

and

𝑖

in the complex plane is:

𝑖

solution

The complex number

is the midpoint of the segment connecting

and

in the complex plane.

The complex number

is at

(

–

0), so

–

You can check your answer by calculating

directly. The complex number

is at

(

–

0), so

–

The complex number

is at

(

–

0), so

–

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Teacher tools

Work it out

Not feeling ready yet? These can help:

W.2Graph complex numbers

B.10Midpoint formula: find the midpoint

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