Question

Classify the quadrilateral formed by the vertices A(1, 1) B(3, 3) C(7, 1) and D(5, –1)

Answer 1

Answer:

AB=√(1-3)^2+(1-3)^2

=√(-2)^2+(-2)^2

=√4+4

=√8

BC=√(3-7)^2+(3-1)^2

=√(-4)^2+(2)^2

=√16+4

=√20

2√5

CD=√(7-5)^2+(1+1)^2

=√(2)^2+(2)^2

=√4+4

=√8

AD=√(1-5)^2+(1+1)^2

=√(-4)^2+(2)^2

=√16+4

=√20

=2√5

Now,as AB=CD n BC=AD

therefore,ABCD is a llgm