Question

Complete the steps to determine what type of quadrilateral ABCD is. 20 POINTS

Slope of AB¯¯¯¯¯¯¯¯=

Slope of CD¯¯¯¯¯¯¯¯=

Slope of AD¯¯¯¯¯¯¯¯=

Slope of BC¯¯¯¯¯¯¯¯=

AB=

BC=

CD=

AD=

The most specific name for this quadrilateral is
.

Answer 1

Answer:

Solution given:

A(3,5)

B(8,5)

C(5,1)

D(0,1)

slope of AB=(5-5)/(8-3)=0

slope of CD=0[since it is parallel to AB]

slope of BC=(1-5)/(5-8)=-4/-3=4/3

slope of AD=4/3[since it is parallel to BC]

it is a parallelogram:

note slope=(y2-y1)/(x2-x1)

Answer 2

Solution given:

A(3,5)

B(8,5)

C(5,1)

D(0,1)

slope of AB=(5-5)/(8-3)=0

slope of CD=0[since it is parallel to AB]

slope of BC=(1-5)/(5-8)=-4/-3=4/3

slope of AD=4/3[since it is parallel to BC]

it is a parallelogram:

note slope=(y2-y1)/(x2-x1)