A man runs in a particular path in such a way that it is a quadrilateral. The opposite sides and opposite angles of the path are equal. Also, the opposite sides are parallel. Given that the adjacent sides are not equal, what is the quadrilateral called? [4 MARKS]
A man runs in a particular path in such a way that it is a quadrilateral. The opposite sides and opposite angles of the path are equal. Also, the opposite sides are parallel. Given that the adjacent sides are not equal, what is the quadrilateral called? [4 MARKS]
Steps: 3 Marks
Quadrilateral's name: 1 Mark
Given that:
A man runs in a particular path, in such a way that it is a quadrilateral.
Also, the opposite sides are equal and opposite angles are equal.
Also, the opposite sides are parallel.
So the given quadrilateral can either be a rectangle, parallelogram, or a square.
But the adjacent sides are not equal.
Therefore it will either be a parallelogram or a rectangle.
If all the angles of the quadrilateral are 90∘, then the quadrilateral is a rectangle, otherwise, it is a parallelogram.
Steps: 3 Marks
Quadrilateral's name: 1 Mark
Given that:
A man runs in a particular path, in such a way that it is a quadrilateral.
Also, the opposite sides are equal and opposite angles are equal.
Also, the opposite sides are parallel.
So the given quadrilateral can either be a rectangle, parallelogram, or a square.
But the adjacent sides are not equal.
Therefore it will either be a parallelogram or a rectangle.
If all the angles of the quadrilateral are 90∘, then the quadrilateral is a rectangle, otherwise, it is a parallelogram.
