Question

This question has two parts. First, answer Part A. Then, answer Part B. Part A Conjecture: A quadrilateral with one pair of sides both congruent and parallel is a parallelogram. Which of the following shows the marked diagram of the situation?restate the conjecture as a specific statement using the diagram you chose from part AIn quadrilateral ABCD, AB is congruent to___ and ____ is parallel to CD. show that ABCD is a ____

Answer 1

The marked diagram of the situation is shown in option D.

In quadrilateral ABCD, AB is congruent to CD and AB is parallel to CD. show that ABCD is a parallelogram

What is a parallelogram

A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.

We can therefore say that a parallelogram is a special type of quadrilateral where opposite sides are both parallel and have the same length.

Also, opposite angles in a parallelogram are equal.

In the figures, option D is marked that side AB is equal and parallel to side CD. This is important, in showing that ABCD is a parallelogram

Answer 2

We have the following:

We can know when they are congruent, since being congruent they are equal sides.

By notation we know that " ' " means that they are the same, therefore

`AB=DC`

And the parallel lines are:

`BA\parallel CD`

Therefore, the answer is B.

In quadrilateral ABCD, AB is congruent to CD and AB is parallel to CD. show that ABCD is a parallelogram