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Back to Calculate distance and midpoint on complex plane — Problem 3 · Task Set 12

Exercises: Calculate Distance and Midpoint on the Complex Plane

Show your work. Express distances as exact values (simplified radicals).

Grade 9·20 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-6
Work through problems with immediate feedback
A

Fluency Practice

1.

Find the midpoint MM of the segment from z=3+5iz = 3 + 5i to w=7+iw = 7 + i.

$M = \dfrac{z + w}{2} = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ++   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ii.

real part of M:
imaginary part of M: