Coordinate Geometry Question 67

Question: The mid-points of sides of a triangle are (2, 1), (-1, -3) and (4,5). Then the coordinates of its vertices are

Options:

A) $ (7,9),(-3,-7),(1,1) $

B) $ (-3,-7),(1,1),(2,3) $

C) $ (1,1),(2,3),(-5,8), $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{x_1+x_2}{2}=2,\frac{x_2+x_3}{2}=-1,\frac{x_3+x_1}{2}=4 $

$ x_1=7,x_2=-3,x_3=1 $ Similarly $ y_1,y_2,y_3 $ can be found.