Question

if the three consecutive vertices of a parallelogram are (1,-2),(3,6)& (5,10) find its fourth vertex

Answer 1

The fourth vertex is (4,4).

Answer 2

Answer:

Midpoint of BD = Midpoint of AC.

(3 + x/2,6 + y/2) = (3,4)

3 + x/2 = 3, 6 + y/2 = 4

3 + x = 6, 6 + y = 8

x = 6 - 3,y = 8 - 6

x = 3, y = 2.

Therefore the fourth vertex is D(3,2).

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