Question
Download Solution PDFComprehension
Direction: Consider the following for the next two (02) items that follow.
The coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(-1, 2) and C(3, 5).
What is the equation of the diagonal BD?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Mid point of BD is same as mid point of AC
Mid point of AC = \(\rm (\frac{1 + 3}{2} , \frac{3 + 5}{2})\) = (2, 4)
Equation of BD
y - 2 = \(\rm \frac{2 - 4}{- 1 - 2}\) (x + 1)
⇒ y - 2 = \(\rm \frac{2}{3}\)(x + 1)
⇒ 3y - 6 = 2x + 2
⇒ 2x - 3y + 2 + 6 = 0
⇒ 2x - 3y + 8 = 0
∴ The equation of the diagonal BD is 2x - 3y + 8 = 0
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