Answer:
Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .
Step-by-step explanation:
Given :
A quadrilateral with its coordinates as follows:
Where A (3, 1), B (4,4), C (7,5), D (6,2).
We will measure the length of the congruent sides by applying distance formula.
Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2
So,
AB = ( insert the coordinates using the formula )
BC = ( insert the coordinates using the formula )
CD = ( insert the coordinates using the formula )
DA = ( insert the coordinates using the formula )
It all equals = squareroot 10
From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.
In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.
