Question

part b. then show that the quadrilateral is a parallelogram.
because $bc = ad = \boldsymbol{\fbox{\textcircled{1}}}$, $\overline{bc} \cong \boldsymbol{\fbox{\textcircled{2}}}$. because both $\overline{bc}$ and $\overline{ad}$ are $\boldsymbol{\fbox{\textcircled{3}}}$, their slope is $\boldsymbol{\fbox{\textcircled{4}}}$, and they are parallel. $\overline{bc}$ and $\boldsymbol{\fbox{\textcircled{5}}}$ are $\boldsymbol{\fbox{\textcircled{6}}}$ that are both congruent and parallel. so, $abcd$ is a parallelogram by the $\boldsymbol{\fbox{\textcircled{7}}}$.

Explanation:

Answer:

1. $\sqrt{5}$
2. $\overline{AD}$
3. horizontal line segments
4. $0$
5. $\overline{AD}$
6. a pair of opposite sides
7. theorem that states if one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram