Question
Question: The mid-points of sides of a triangle are (2, 1), (–1, –3) and (4, 5). Then the coordinates of its v...
The mid-points of sides of a triangle are (2, 1), (–1, –3) and (4, 5). Then the coordinates of its vertices are-
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
Answer
(7, 9), (–3, –7), (1, 1)
Explanation
Solution
A = D + F – E = (2 + 4 +1, 1 + 5 + 3) = (7, 9)
B = D + E – F = (2 – 1 – 4, 1 – 3 – 5) = (–3, –7)
C = E + F – D = (–1 +4 – 2, – 3 + 5 – 1) = (1, 1)