A man runs in a particular path in such a way that it is a quadrilateral. The specifications are opposite sides are equal and opposite angles 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 specifications are opposite sides are equal and opposite angles 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.
