Algebra 2 Quiz
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COMPLEX NUMBERS ON THE PLANE
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On the complex plane, the point z=a+biz=a+bi corresponds to the coordinate (a,b)(a,b). The distance between z1=a+biz_1=a+bi and z2=c+diz_2=c+di is ∣z1−z2∣=(a−c)2+(b−d)2|z_1-z_2|=\sqrt{(a-c)^2+(b-d)^2}, and the midpoint is z1+z22=a+c2+b+d2i\dfrac{z_1+z_2}{2}=\dfrac{a+c}{2}+\dfrac{b+d}{2}i (the same as the coordinate geometry formulas). For z1=1−3iz_1=1-3i and z2=5+iz_2=5+i, what are the distance between them and the midpoint of the segment joining them?
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