Question

The following is the proof that, given parallelogram JKLM, ∠JKL≅∠LMJ.

Statement Reason
1. JKLM is a parallelogram. Given.
2. JL is drawn. A line can be drawn connecting any two points
3. __________________ ______________________________
4. JK || LM and KL || MJ The opposite sides of a parallelogram are parallel.
5._____________________ _______________________________
6. ΔJKL≅ΔLMJ If two angles and the included side of one triangle
are congruent to the corresponding parts of a
second triangle, the triangles are congruent.
7. ∠JKL≅∠LMJ Corresponding parts of congruent triangles are congruent.

Which statements and reasons complete this proof?
POSSIBLE ANSWER CHOICES :


Statement 3: JL⎯⎯⎯⎯≅JL⎯⎯⎯⎯
Reason 3: Any figure is congruent to itself.


Statement 3: LM⎯⎯⎯⎯⎯≅KL⎯⎯⎯⎯⎯
Reason 3: Adjacent sides of a parallelogram are congruent.


Statement 3: JL⎯⎯⎯⎯ bisects ∠KLM.
Reason 3: The diagonal of a parallelogram bisects opposite angles.


Statement 5: ∠JLM and ∠LMJ are supplementary, and ∠LJK and ∠JKL are supplementary
Reason 5: When two parallel lines are crossed by a transversal, same-side interior angles are supplementary.


Statement 5: ∠KJL≅∠MLJ and ∠KLJ≅∠MJL
Reason 5: When two parallel lines are crossed by a transversal, alternate interior angles are congruent.


Statement 5: ∠KJL≅∠MJL and ∠KLJ≅∠JLM
Reason 5: When two parallel lines are crossed by a transversal, alternate interior angles are congruent.