What is the most precise name for quadrilateral ABCD with vertices A(-3,1) , B(-1,4) , C(5,4) , and D(3,1)?
A) trapezoid
b) parallelogram
c) rhombus
d) quadrilateral

Question

What is the most precise name for quadrilateral ABCD with vertices A(-3,1) , B(-1,4) , C(5,4) , and D(3,1)? 
A) trapezoid 
b) parallelogram
c) rhombus
d) quadrilateral

anonymous · Answer

I am thinking parallelogram bcuz when you draw out the graph (try drawing it out), BC is parallel to AD, and BA is parallel to CD. However, when working out the lengths of each side, BA does not equal to BC, and CD does not equal to AD. Hence, with 2 pairs of parallel lines and two pairs of sides with the same lengths, you can conclde that it is a parallelogram. It would be better if you could work it out yourself first, though :)