If A(2, -1), B(5, -5), C(10, -5), and D(7, -1) are the vertices of a quadrilateral, do the points form a rhombus? Justify your answer.

Question

If A(2, −1), B(5, −5), C(10, −5), and D(7, −1) are the vertices of a quadrilateral, do the points form a rhombus? Justify your answer.

Answer 1

Draw and label a diagram!

AD || BC, AB || DC

AB = DC, AD = DC

Yet

AD ≠ AB

It is a kite.