Match each statement in the proof with the correct reason.
options: definition of parallelogram
definition of diagonal
given
same-side interior angles theorem
alternate interior angles theorem
definition of supplementary
definition of same-side interior angles

See explanation

Step-by-step explanation:

Definition of parallelogram: Parallelogram is a quadrilateral with two pairs of parallel sides.    

Definition of transversal (diagonal): A line that cuts across two or more (usually parallel) lines.

Definition of the same side interior angles: These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

The same-side interior angles theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

       Statement                          Reason

1. ABCD is a parallelogram  -  Given

2.                           -  Definition of parallelogram

3. is a diagonal of and - Definition of diagonal

4.   and are the same side interior angles - Definition of same-side interior angles

5.   is supplementary to   - Same-Side Interior Angles Theorem

16 is the absolute value

step-by-step explanation: