The required reasons to complete the given proof are:
For A, Opposite interior angles of a parallelogram are congruent
For B, Opposite sides of a parallelogram are congruent
For C, Corresponding sides of congruent triangles
A parallelogram is a four sided figure which has opposite sides to have equal measure. The following reasons completes the proof required.
Statements Reasons
1. WBHN is a parallelogram Given
2. <WBK ≅ <HNR Given
3. <BWK ≅ <RHN Opposite interior angles of a parallelogram are
congruent
4. WB ≅ NH Opposite sides of a parallelogram are congruent
5. ΔWBK ≅ ΔHNR Angle Side Angle
6. KB ≅ NR Corresponding sides of congruent triangles
Therefore, the required reasons to complete the given proof are:
For A, Opposite interior angles of a parallelogram are congruent
For B, Opposite sides of a parallelogram are congruent
For C, Corresponding sides of congruent triangles