Question

I don't understand can u put 6 statements and reasons

Answer 1

Statement 1:

$\bar{JN}\cong\bar{NL},\angle JMK\cong\angle LKM$

Reason 1:

Given

Statement 2:

$\bar{JK}\parallel\bar{ML}$

Reason 2:

Alternate interior angles converse theorem

(this means that the only way that this two angles would be equal is that the lines stated above are parallel)

Statement 3:

$\angle JKM\cong\angle LMK$

Reason 3:

Alternate interior angles theorem.

(this means that once we proved that segments JK and ML are parallel the alternate interior angles should be equal)

Statement 4:

$\bar{MN}\cong\bar{MN}$

Reason 4:

Reflexive property of congurence

Statement 5:

$\Delta JMK\cong\Delta LKM$

Reason 5:

ASA

(this means that two triangles are congruent is the angle side angle are conguent)

Statement 6:

JKLM is a parallelogram

Reason 6:

The diagonal MK divides the quadrialteral in two congruent triangl