Answer:
The given trapezium is not an isosceles trapezium.
Step-by-step explanation:
Given:
<u>Coordinates of the vertices of a trapezium:</u>
A trapezoid is a convex-quadrilateral whose one pair of opposite sides are parallel but not equal in length, which lead to a pair of non-parallel sides.
- It holds all the properties of a convex- quadrilateral.
- When the non-parallel sides of the the trapezium are equal in length then the trapezium is said to be isosceles.
From the attached schematic we find the length of the non-parallel sides.
We know that the distance between two points can be evaluated as:
..............................................(1)
Now,
.........................................(2)
Therefore, from eq. (1) & (2) we can conclude that the given trapezium is not an isosceles trapezium.