Question

A B and C are three vertices of a parallelogram ABCD represented by the complex number 8+5i , -7-5i , ,-5+5i respectively. Find the coordinates of vertex D

Answer 1

Answer:

Given:-

ABCD is a parallelogram.A=8+5i,B=-7-5i,C=-5+5i.To find:- D=?

Step-by-step explanation:

A,B,C,D is a parallelogram.

A=8+5i,B=-7-5i,C=-5+5i,D=?, Diagonal AC=Diagonal BD, Co-ordinate from diagonal AC O=(5,5), Co-ordinate from diagonal BD O=-7+x÷2,-5+y÷2, Thus, -7+x÷2=5 -7+x=10, x=17, and 5+y÷2=5, 5+y=10, y=10-5, y=5. so,vertex D=(17,5).

Answer 2

Answer:

ac=bd

first will take out the origin of mid point

d= 10+15i