Question

1. In quadrilateral QUAD shown below, point R is the midpoint of diagonal QA. What are

the coordinates of point Q?
R(-2, 10)
A (12,6)
A. (-16,14)
B. (-12, 16)
C. (-14,4)
D. (-7,2)

Answer 1

Option A. (-16,14)

Explanation:

we know that

The formula to calculate the midpoint between two points is equal to

`M((x1+x2)/(2),(y1+y2)/(2))`

In this problem we have that

`point\ Q(x1,y1)\\point\ A(x2,y2)`

`(-2,10)=((x1+12)/(2),(y1+6)/(2))`

so

`(x1+12)/(2)=-2` --->
`x1=-4-12=-16`

`(y1+6)/(2)=10` --->
`y1=20-6=14`

therefore

The coordinates of point Q are (-16,14)