Answer with explanation:
Properties of Rectangle
1. Opposite sides are equal and parallel.
2. Diagonals are equal and bisect each other.
3. Adjacent Sides are Perpendicular to each other.
→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.
→A Rectangle is a Quadrilateral also.
→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.
⇒Slope of AB × Slope of BC = -1
⇒Also, Slope of AB × Slope of BC = -1
Slope of AB × Slope of AD = -1
⇒ Slope of AD × Slope of CD = -1
Slope of CB × Slope of CD = -1
Option B And Option C
are statement which proves that polygon ABCD is not a rectangle.
