What is the most precise name for quadrilateral ABCD with vertices [tex]\( A(-1, 0) \)[/tex], [tex]\( B(4, 0) \)[/tex], [tex]\( C(5, 4) \)[/tex], and [tex]\( D(0, 4) \)[/tex]?

A. square
B. rhombus
C. parallelogram
D. rectangle



Answer :

Final answer:

The most precise name for the quadrilateral ABCD is a Rhombus. In a Rhombus, the diagonals are always perpendicular to each other.


Explanation:

Rhombus is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4,0), C(5,4), and D(0, 4) because a rhombus is a parallelogram with all four sides of equal length. In a rhombus, the diagonals are always perpendicular to each other, which can be shown using the concept of scalar product of vectors.


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