Question

Match each graph with the pair of complex numbers the line segment connects. Tiles Pairs 1 + i and 2 − 2i arrowBoth -1 − i and 2 − i arrowBoth -2 + i and -1 − i arrowBoth 2 + 4i and -1 + 2i arrowBoth

Answer 1

Graph A- (-1-i, -2+i)

Graph B- (2+4i, -1+2i)

Graph C- (2-i, -1-i)

Graph D- (1+i, 2-2i)

(based off the answer below; not sure if it is fully correct)

Answer 2

For graph D, the real number is at x = 1 and it goes up the imaginary axis 1 unit so that point is 1 + i.  The other point is at x = 2 and goes down the imaginary axis 2 units so that point is 2 - 2i.  Therefore, the points connecting that segment are 1+i and 2 - 2i, first choice above.  For graph C, the point on the right is at x = 2 and goes down the imaginary axis 1 unit so that point is 2 - i.  The point on the left is at x = -1 and goes down the imaginary axis 1 so the point is -1 - i.  Therefore, the points connecting that segment are 2 - i and -1 - i.  For graph B, the point on the right is at x = 2 and it goes up the imaginary axis 4, so the point is 2 + 4i.  For the point on the left, it is at x = -1 and goes up the imaginary axis 2, so the point is -1 + 2i.  Therefore, the points connecting that segment are 2 + 4i and -1 + 2i.  For graph A, the point on the right is at x = -1 and goes down the imaginary axis 1 so the point is -1-i.  The point on the left is at x = -2 and goes up the imaginary axis 1, so the point is -2 + i.  The points connecting that segment are -1 - i and -2 + i.  There you go!