Question

What is the most precise name for quadrilateral ABCD with vertices A(−1,0), B(1,2), C(4,2), and D(2,0)?

Answer 1

Check the picture below.

Answer 2

Parallelogram

Explanation:

We are given that a quadrilateral ABCD with vertices A(-1,0),B(1,2),C(4,2) and D (2,0).

Distance formula :
`√(9x_2-x_1)^2+(y_2-y_1)^2)`

Using distance formula

AB=
`√((1+1)^2+(2-0)^2)=√(4+4)=2\sqrt2`

BC=
`√((4-1)^2+(2-2)^2)=3`

CD=
`√((2-4)^2+(0-2)^2)=2\sqrt2`

AD=
`√((2+1)^2+(0-0)^2)=3`

AB=CD and BC=AD

From figure ,

The quadrilateral is parallelogram because opposite sides are equal and parallel.