Answer:
Step-by-step explanation:
The endpoints of one diagonal of a rhombus are (-5, 2) and (1, 6). The coordinates of the 3rd vertex are (-6, 10), the fourth vertex we have to find out
Since diagonals of a rhombus bisect each other the midpoints of the two diagonals would be the same
Let A be (-5,2) andC be (1,6)
If E is the mid point of AC, then coordinates of E
=[tex](\frac{-5+1}{2} ,\frac{2+6}{2} )\\=(-2,4)[/tex]
E is also midpoint of other vertices Band D
Let B be (-6,10) and D be (x,y)
Midpoint of BD =
[tex](\frac{x-6}{2} ,\frac{y+10}{2} )=(-2,4)[/tex]
x=2 and y =-2
