Distance and Midpoints in the Complex Plane Answers

1.

Find the length of the radius of a circle with a center at –7 + 2i and a point on the circle at 33 + 11i.

3. The distance between and is 61 units.The positive value of b is

4. The distance between and is units.The positive value of a is

3. A segment in the complex plane has a midpoint at −1 + 7i. If one endpoint of the segment is at 3 + 8i, what is the other endpoint?

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4. A segment in the complex plane has a midpoint at −1.5 + 3.5i. If one endpoint of the segment is at 4 + 6i, what is the other endpoint?

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2.

Where was Petey’s mistake?

Find the distance between the points 6 + 5i and 1 – 2i.

1. (in the first quadrant)

1. Find the midpoint of the segment with endpoints of 6 + 3i and −12 − 5i.

1. Find the midpoint of the segment with endpoints of 6 + 3i and −12 − 5i. + i 2. Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i. + i

Given a circle with endpoints of a diameter at –10 – 1i and 6 + 11i, answer the questions below.1. The center of the circle is at + i.

2. (in the third quadrant)

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The radius of the circle has a length of units.

2. Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.

1. Find the midpoint of the segment with endpoints of 6 + 3i and −12 − 5i. + i 2. Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i. + i