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

Answer:

Option A. (-16,14)

Step-by-step explanation:

we know that

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

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

In this problem we have that

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

$(-2,10)=(\frac{x1+12}{2},\frac{y1+6}{2})$

so

$\frac{x1+12}{2}=-2$ ---> $x1=-4-12=-16$

$\frac{y1+6}{2}=10$ ---> $y1=20-6=14$

therefore

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