Question

Which statements could you use to conclude that JKLM is a parallelogram

Answer 1

Parallelogram: opposite angles are equal ; opposite sides are equal

<JML = <LKJ and <MJK = <MLK

Answer is the second option (opposite angles are equal)

<JML = <LKJ and <MJK = <MLK

Answer 2

Answer:
`\Rightarrow\ \angle{JML}\cong\angle{LKJ}`

`\angle{MJK}\cong\angle{MLK}`

Explanation:

The characteristics of a parallelogram are as follows:-

1. It is a quadrilateral.
2. The opposite sides are parallel.
3. The opposite sides and angles are congruent.
4. The diagonals are perpendicular bisectors.

In the given picture m, we have a parallelogram JKLM.

By Property 3. , the opposite angles of parallelogram JKLM are congruent.

`\Rightarrow\ \angle{JML}\cong\angle{LKJ}`

`\angle{MJK}\cong\angle{MLK}`

Hence, the which statements could use to conclude that JKLM is a parallelogram:-

`\Rightarrow\ \angle{JML}\cong\angle{LKJ}`

`\angle{MJK}\cong\angle{MLK}`