Question

Choose the best selection for thequadrilateral with vertices at thefollowing points:(0,0), (1,3), (5,0), (6,3)Hint: Start by graphing the points.Distance Formula: d= 7(x2 – x1)2 + (y2 - y1)2A. RectangleB. TrapezoidC. RhombusD. Parallelogram

Answer 1

Solution

We have the following coordinates:

(0,0), (1,3), (5,0), (6,3)

We can find the distance between the vertices like this:

$d=\sqrt[]{(1-0)^2+(3-0)^2}=\sqrt[]{10}$$d=\sqrt[]{(5-0)^2+(0-0)^2}=5$$d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}$$d=\sqrt[]{(5-1)^2+(0-3)^2}=5$$d=\sqrt[]{(6-5)^2+(3-0)^2}=\sqrt[]{10}$$d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}$

Then the correct answer for this case is:

D. Parallelogram